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Finding the Fourth Proportional to 546.29, 819.12 and 180.87

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Solution

The fourth proportional to 546.29, 819.12 and 180.87 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.29 : 819.12 = 180.87 : x
  2. Step 2: Convert to fraction form
    546.29/819.12 = 180.87/x
  3. Step 3: Cross multiply
    546.29x = 819.12 × 180.87
  4. Step 4: Simplify right side
    546.29x = 148,157.98
  5. Step 5: Solve for x
    x = 148,157.98/546.29
  6. Step 6: Final answer
    x = 271.21

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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.