Finding the Fourth Proportional to 311.24, 466.74 and 157.23
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Solution
The fourth proportional to 311.24, 466.74 and 157.23 is: 235.79
Step by Step Solution
- Step 1: Write the proportion equation
311.24 : 466.74 = 157.23 : x - Step 2: Convert to fraction form
311.24/466.74 = 157.23/x - Step 3: Cross multiply
311.24x = 466.74 × 157.23 - Step 4: Simplify right side
311.24x = 73,385.53 - Step 5: Solve for x
x = 73,385.53/311.24 - Step 6: Final answer
x = 235.79
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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.