Question

If 30 40 X and 60 are in proportion then find the value of x

Answer 1

30:40::X:60
Product mean= product of extreme
30*60=40*X
1800=40X
X= 1800/40=45

Answer 2

The value of x = 45

Given :

30 , 40 , x , 60 are in proportion

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that 30 , 40 , x , 60 are in proportion

Thus we get

30 : 40 = x : 60

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 30 : 40 = x : 60 }$

$\displaystyle \sf{ \implies \frac{30}{40} = \frac{x}{60} }$

$\displaystyle \sf{ \implies 40x = 30 \times 60}$

$\displaystyle \sf{ \implies 40x = 1800}$

$\displaystyle \sf{ \implies x = \frac{1800}{40} }$

$\displaystyle \sf{ \implies x = 45 }$

Hence the required value of x = 45

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