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Finding the Fourth Proportional to 417.42, 625.46 and 254.78

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Solution

The fourth proportional to 417.42, 625.46 and 254.78 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 625.46 = 254.78 : x
  2. Step 2: Convert to fraction form
    417.42/625.46 = 254.78/x
  3. Step 3: Cross multiply
    417.42x = 625.46 × 254.78
  4. Step 4: Simplify right side
    417.42x = 159,354.70
  5. Step 5: Solve for x
    x = 159,354.70/417.42
  6. Step 6: Final answer
    x = 381.76

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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.