Finding the Fourth Proportional to 546.40, 819.36 and 161.68
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Solution
The fourth proportional to 546.40, 819.36 and 161.68 is: 242.45
Step by Step Solution
- Step 1: Write the proportion equation
546.40 : 819.36 = 161.68 : x - Step 2: Convert to fraction form
546.40/819.36 = 161.68/x - Step 3: Cross multiply
546.40x = 819.36 × 161.68 - Step 4: Simplify right side
546.40x = 132,474.12 - Step 5: Solve for x
x = 132,474.12/546.40 - Step 6: Final answer
x = 242.45
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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.