If $4 : 5 :: x : 45,$ then the value of $x$ is
(a) $54$
(b) $60$
(c) $36$
(d) $30$

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Solution

The correct option is (c): $36$
Given:
$4 : 5 :: x : 45$
We know:
Product of mean $=$ Product of extremes [ $∵ a : b :: c : d \Rightarrow a d = b c$ ]
$5 x = 4 \times 45$
$\Rightarrow x = \frac{180}{5} = 36$

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