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Finding the Fourth Proportional to 425.46, 638.10 and 147.83

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Solution

The fourth proportional to 425.46, 638.10 and 147.83 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.46 : 638.10 = 147.83 : x
  2. Step 2: Convert to fraction form
    425.46/638.10 = 147.83/x
  3. Step 3: Cross multiply
    425.46x = 638.10 × 147.83
  4. Step 4: Simplify right side
    425.46x = 94,327.13
  5. Step 5: Solve for x
    x = 94,327.13/425.46
  6. Step 6: Final answer
    x = 221.71

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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.