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Finding the Fourth Proportional to 408.39, 611.80 and 225.24

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Solution

The fourth proportional to 408.39, 611.80 and 225.24 is: 337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.39 : 611.80 = 225.24 : x
  2. Step 2: Convert to fraction form
    408.39/611.80 = 225.24/x
  3. Step 3: Cross multiply
    408.39x = 611.80 × 225.24
  4. Step 4: Simplify right side
    408.39x = 137,801.83
  5. Step 5: Solve for x
    x = 137,801.83/408.39
  6. Step 6: Final answer
    x = 337.43

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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.