Question

Find the value of $x$, if the following is in continued proportion:$4,xand16$.

Answer 1

Find the value of $x$

Given that, $4,xand16$ are in continued proportion.

So, $4:x::x:16$

$\Rightarrow \frac{4}{x}=\frac{x}{16}$

$\Rightarrow x\times x=4\times 16$

$\Rightarrow x^2=64$

$\Rightarrow x=\sqrt{64}$

$\Rightarrow x=\pm 8$

Step 2: Consider the positive value of $x$.

We cannot consider the $-8$, because between the two positive numbers only positive number will lie.

So, $x=8$

Hence, the value of $x=8$.