Using the proportional method, solve for x in this ratio: 2 : x :: 4 : 2

The given question is based on ratios and proportions.

Answer: The solution of 2 : x :: 4 : 2 by proportional method is x = 1.

The ratio is a way of comparing two quantities of the same kind by using division. When two or more such ratios are equal, they are said to be in proportion.

Explanation:

If a : b = c : d, then a/b = c/d ⇒ ad = bc

Here, 2 : x :: 4 : 2 

2 : x = 4 : 2     

so, a = 2, b = x, c = 4, d = 2

2 × 2 = 4 × (x)

4 = 4x

1 = x

Thus, the value of x is 1 if 2 : x :: 4 : 2.