If 150 is the proportional to 6 and x ,find value of x
To find the value of x when 150 is proportional to 6 and x, we can set up a proportion and solve for x.
First, let's write the proportion using the "is proportional to" symbol (∝):
150 ∝ 6/x
To solve for x, we can cross-multiply and solve the resulting equation. Cross-multiplying means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.
150 * x = 6 * 1
Now, we have the equation:
150x = 6
To isolate x, we need to divide both sides of the equation by 150:
(150x)/150 = 6/150
This simplifies to:
x = 6/150
Further simplifying the right side:
x = 1/25
Therefore, when 150 is proportional to 6 and x, the value of x is 1/25.