Advertisements
Advertisements
Question
If x2, 4 and 9 are in continued proportion, find x.
Advertisements
Solution
Given, x2, 4 and 9 are in continued proportion.
`("x"^2)/4 = 4/9`
⇒ 9x2 = 16
⇒ x2 = `16/9`
⇒ x = `4/3`
RELATED QUESTIONS
Find the sub-duplicate ratio of 9x2a4 : 25y6b2
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
10 kg of sugar cost ₹ 350. If x kg sugar of the same kind costs ₹ 175, find the value of x
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the ratio of Shubham’s mother’s age today to his father’s age today.
Find the following ratio in the simplest form:
84 paise to Rs 3
The ratio of income to savings of a family is 11 : 2. Find the expenditure if the savings is Rs 1520.
The ratio of 8 books to 20 books is ______.
In a year, Ravi earns Rs 360000 and paid Rs 24000 as income tax. Find the ratio of his income to income tax.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
AG : AD
A doctor reports blood pressure in millimeters of mercury (mm Hg) as a ratio of systolic blood pressure to diastolic blood pressure (such as 140 over 80). Systolic pressure is measured when the heart beats, and diastolic pressure is measured when it rests. Refer to the table of blood pressure ranges for adults.
| Blood Pressure Ranges | |||
| Normal | Prehypertension | Hypertension (Very High) |
|
| Systolic | Under 120 mm Hg | 120-139 mm Hg | 140 mm Hg and above |
| Diastolic | Under 80 mm Hg | 80-89 mm Hg | 90 mm Hg and above |
Manohar is a healthy 37 years old man whose blood pressure is in the normal category.
- Calculate an approximate ratio of systolic to diastolic blood pressures in the normal range.
- If Manohar’s systolic blood pressure is 102 mm Hg, use the ratio from part (a) to predict his diastolic blood pressure.
- Calculate the ratio of average systolic to average diastolic blood pressure in the prehypertension category.
