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Finding the Fourth Proportional to 452.38, 624.17 and 255.89

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Solution

The fourth proportional to 452.38, 624.17 and 255.89 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 624.17 = 255.89 : x
  2. Step 2: Convert to fraction form
    452.38/624.17 = 255.89/x
  3. Step 3: Cross multiply
    452.38x = 624.17 × 255.89
  4. Step 4: Simplify right side
    452.38x = 159,718.86
  5. Step 5: Solve for x
    x = 159,718.86/452.38
  6. Step 6: Final answer
    x = 353.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.