Finding the Fourth Proportional to 311.70, 430.16 and 178.95
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Solution
The fourth proportional to 311.70, 430.16 and 178.95 is: 246.96
Step by Step Solution
- Step 1: Write the proportion equation
311.70 : 430.16 = 178.95 : x - Step 2: Convert to fraction form
311.70/430.16 = 178.95/x - Step 3: Cross multiply
311.70x = 430.16 × 178.95 - Step 4: Simplify right side
311.70x = 76,976.24 - Step 5: Solve for x
x = 76,976.24/311.70 - Step 6: Final answer
x = 246.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.