If x,20,30 and 60 are in proportion then what is the value of x?

Answer

To find the value of \( x \) when \( x, 20, 30, \) and \( 60 \) are in proportion, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Proportion**:
When four numbers \( a, b, c, d \) are in proportion, it means that:
\[ \frac{a}{b} = \frac{c}{d} \]
In our case, we can set it up as:
\[ \frac{x}{20} = \frac{30}{60} \]

2. **Cross-Multiplication**:
To solve for \( x \), we can use cross-multiplication:
\[ x \cdot 60 = 20 \cdot 30 \]

3. **Calculating the Right Side**:
Now, calculate \( 20 \cdot 30 \):
\[ 20 \cdot 30 = 600 \]
So we have:
\[ x \cdot 60 = 600 \]

4. **Isolating \( x \)**:
To find \( x \), divide both sides by 60:
\[ x = \frac{600}{60} \]

5. **Final Calculation**:
Now, calculate \( \frac{600}{60} \):
\[ x = 10 \]

### Conclusion:
The value of \( x \) is \( 10 \).

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