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Finding the Fourth Proportional to 546.38, 819.09 and 253.77

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Solution

The fourth proportional to 546.38, 819.09 and 253.77 is: 380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 819.09 = 253.77 : x
  2. Step 2: Convert to fraction form
    546.38/819.09 = 253.77/x
  3. Step 3: Cross multiply
    546.38x = 819.09 × 253.77
  4. Step 4: Simplify right side
    546.38x = 207,860.47
  5. Step 5: Solve for x
    x = 207,860.47/546.38
  6. Step 6: Final answer
    x = 380.43

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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.