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Finding the Fourth Proportional to 178.56, 267.44 and 142.52

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Solution

The fourth proportional to 178.56, 267.44 and 142.52 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 267.44 = 142.52 : x
  2. Step 2: Convert to fraction form
    178.56/267.44 = 142.52/x
  3. Step 3: Cross multiply
    178.56x = 267.44 × 142.52
  4. Step 4: Simplify right side
    178.56x = 38,113.50
  5. Step 5: Solve for x
    x = 38,113.50/178.56
  6. Step 6: Final answer
    x = 213.45

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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.