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Finding the Fourth Proportional to 178.52, 267.71 and 101.53

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Solution

The fourth proportional to 178.52, 267.71 and 101.53 is: 152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.52 : 267.71 = 101.53 : x
  2. Step 2: Convert to fraction form
    178.52/267.71 = 101.53/x
  3. Step 3: Cross multiply
    178.52x = 267.71 × 101.53
  4. Step 4: Simplify right side
    178.52x = 27,180.42
  5. Step 5: Solve for x
    x = 27,180.42/178.52
  6. Step 6: Final answer
    x = 152.26

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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.