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Finding the Fourth Proportional to 471.27, 706.41 and 178.73

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Solution

The fourth proportional to 471.27, 706.41 and 178.73 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 706.41 = 178.73 : x
  2. Step 2: Convert to fraction form
    471.27/706.41 = 178.73/x
  3. Step 3: Cross multiply
    471.27x = 706.41 × 178.73
  4. Step 4: Simplify right side
    471.27x = 126,253.13
  5. Step 5: Solve for x
    x = 126,253.13/471.27
  6. Step 6: Final answer
    x = 267.90

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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.