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Finding the Fourth Proportional to 408.98, 614.22 and 255.21

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Solution

The fourth proportional to 408.98, 614.22 and 255.21 is: 383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.98 : 614.22 = 255.21 : x
  2. Step 2: Convert to fraction form
    408.98/614.22 = 255.21/x
  3. Step 3: Cross multiply
    408.98x = 614.22 × 255.21
  4. Step 4: Simplify right side
    408.98x = 156,755.09
  5. Step 5: Solve for x
    x = 156,755.09/408.98
  6. Step 6: Final answer
    x = 383.29

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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.