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Finding the Fourth Proportional to 177.87, 267.85 and 155.31

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Solution

The fourth proportional to 177.87, 267.85 and 155.31 is: 233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.87 : 267.85 = 155.31 : x
  2. Step 2: Convert to fraction form
    177.87/267.85 = 155.31/x
  3. Step 3: Cross multiply
    177.87x = 267.85 × 155.31
  4. Step 4: Simplify right side
    177.87x = 41,599.78
  5. Step 5: Solve for x
    x = 41,599.78/177.87
  6. Step 6: Final answer
    x = 233.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.