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Finding the Fourth Proportional to 546.62, 819.92 and 135.74

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Solution

The fourth proportional to 546.62, 819.92 and 135.74 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.62 : 819.92 = 135.74 : x
  2. Step 2: Convert to fraction form
    546.62/819.92 = 135.74/x
  3. Step 3: Cross multiply
    546.62x = 819.92 × 135.74
  4. Step 4: Simplify right side
    546.62x = 111,295.94
  5. Step 5: Solve for x
    x = 111,295.94/546.62
  6. Step 6: Final answer
    x = 203.61

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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.