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Finding the Fourth Proportional to 178.78, 267.96 and 87.39

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Solution

The fourth proportional to 178.78, 267.96 and 87.39 is: 130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.78 : 267.96 = 87.39 : x
  2. Step 2: Convert to fraction form
    178.78/267.96 = 87.39/x
  3. Step 3: Cross multiply
    178.78x = 267.96 × 87.39
  4. Step 4: Simplify right side
    178.78x = 23,417.02
  5. Step 5: Solve for x
    x = 23,417.02/178.78
  6. Step 6: Final answer
    x = 130.98

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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.