Question

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

Answer 1

Solution:
Step : Calculate the value of $x$
Given, numbers $4$, x and $9$ are in continued proportion.
$\therefore 4:x$ = $x:9$
$\Rightarrow 4\times 9$ = $x\times x$
$\because$ (Product of extremes = Product of means)
$\Rightarrow x^2$ = $36$
$\Rightarrow x$ = $\sqrt{6\times 6}$
$\therefore x$ = $6$
Hence, the value of $x$ is 6.