Finding the Fourth Proportional to 311.43, 466.99 and 157.13
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Solution
The fourth proportional to 311.43, 466.99 and 157.13 is: 235.62
Step by Step Solution
- Step 1: Write the proportion equation
311.43 : 466.99 = 157.13 : x - Step 2: Convert to fraction form
311.43/466.99 = 157.13/x - Step 3: Cross multiply
311.43x = 466.99 × 157.13 - Step 4: Simplify right side
311.43x = 73,378.14 - Step 5: Solve for x
x = 73,378.14/311.43 - Step 6: Final answer
x = 235.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.