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Finding the Fourth Proportional to 546.39, 819.59 and 135.53

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Solution

The fourth proportional to 546.39, 819.59 and 135.53 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 819.59 = 135.53 : x
  2. Step 2: Convert to fraction form
    546.39/819.59 = 135.53/x
  3. Step 3: Cross multiply
    546.39x = 819.59 × 135.53
  4. Step 4: Simplify right side
    546.39x = 111,077.33
  5. Step 5: Solve for x
    x = 111,077.33/546.39
  6. Step 6: Final answer
    x = 203.29

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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.