Question

Find the value of x, if
(а) 8, x, x, 50 are in proportion.
(b) 36, 90, 90, x are in proportion.

Answer 1

Step-by-step explanation:

(a) Since 8, x, x, 50, are in proportion.

∴ x × x = 8 × 50

⇒ x2 = 400

∴ x = 20

(b) Since 36, 90, 90, x are in proportion.

∴ 36 × x = 90 × 90

⇒ x = 90×9036 = 225

∴ x = 225

Answer 2

Given - Ratio and proportion

Find - Value of x

Solution - Value of x in (a) is 20 and (b) is 225.

Firstly solving part (a).

Converting ratio and proportion to fractional form.

8/x = x/50

Performing multiplication to find the value of x-

x² = 50*8

x² = 400

Finding square root to find the value of x-

x = ✓400

x = 20

So, value of x is 20.

Secondly solving part (b).

Converting ratio and proportion to fractional form.

36/90 = 90/x

Performing multiplication and division to find the value of x -

x = 90*90/36

x = 225

So, value of x is 225.