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Finding the Fourth Proportional to 625.54, 938.11 and 255.25

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Solution

The fourth proportional to 625.54, 938.11 and 255.25 is: 382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.54 : 938.11 = 255.25 : x
  2. Step 2: Convert to fraction form
    625.54/938.11 = 255.25/x
  3. Step 3: Cross multiply
    625.54x = 938.11 × 255.25
  4. Step 4: Simplify right side
    625.54x = 239,452.58
  5. Step 5: Solve for x
    x = 239,452.58/625.54
  6. Step 6: Final answer
    x = 382.79

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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.