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Finding the Fourth Proportional to 408.57, 613.15 and 254.72

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Solution

The fourth proportional to 408.57, 613.15 and 254.72 is: 382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 613.15 = 254.72 : x
  2. Step 2: Convert to fraction form
    408.57/613.15 = 254.72/x
  3. Step 3: Cross multiply
    408.57x = 613.15 × 254.72
  4. Step 4: Simplify right side
    408.57x = 156,181.57
  5. Step 5: Solve for x
    x = 156,181.57/408.57
  6. Step 6: Final answer
    x = 382.26

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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.