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Finding the Fourth Proportional to 314.73, 472.14 and 83.61

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Solution

The fourth proportional to 314.73, 472.14 and 83.61 is: 125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.73 : 472.14 = 83.61 : x
  2. Step 2: Convert to fraction form
    314.73/472.14 = 83.61/x
  3. Step 3: Cross multiply
    314.73x = 472.14 × 83.61
  4. Step 4: Simplify right side
    314.73x = 39,475.63
  5. Step 5: Solve for x
    x = 39,475.63/314.73
  6. Step 6: Final answer
    x = 125.43

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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.