If 4, X and 9 Are in Continued Proportion, Find the Value of X.

If 4, x and 9 are in continued proportion, find the value of x.

Sum

4, x and 9 are in continued proportion
⇒ 4 : x = x : 9
⇒ x² = 9 x 4
⇒ x = `sqrt36`
x = 6

shaalaa.com

Is there an error in this question or solution?

Chapter 12: Proportion (Including Word Problems) - Exercise 12 (C)

Chapter 12 Proportion (Including Word Problems)
Exercise 12 (C) | Q 11

Find duplicate ratio of 3 : 4

Find the sub-duplicate ratio of the following :

`1/16 : 1/36`

A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg?

Reduce the following ratio to their lowest term:
1 hour 20 min : 2 hours

Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.

If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x, if y = 70

Find the sub-duplicate ratio of 9 : 16

If (4x² + xy) : (3xy – y²) = 12 : 5, find (x + 2y) : (2x + y).

Find the ratio of:

2 dozens to a score

Out of 50 students in a class, 30 are boys. Find the ratio of number of boys to the total number of students