Find the value of x in the following proportions : x : 50 :: 3 : 2

Sum

x : 50 : : 3 : 2
⇒ × x 2 = 50 x 3
x = `(50 xx 3)/(2)`
= 75.

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Chapter 6: Ratio and Proportion - Exercise 7.2

Chapter 6 Ratio and Proportion
Exercise 7.2 | Q 1.4

Using the properties of proportion, solve for x, given `(x^4 + 1)/(2x^2) = 17/8`.

If a, b, c and d are in proportion prove that `sqrt((4a^2 + 9b^2)/(4c^2 + 9d^2)) = ((xa^3 - 4yb^3)/(xc^3 - 5yd^3))^(1/3)`

Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.

Find the mean proportion of the following :

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2xy, x², y²

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Find the missing number in the box in the proportions:

`3/8 = square/20`