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Finding the Fourth Proportional to 408.29, 611.96 and 261.85

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Solution

The fourth proportional to 408.29, 611.96 and 261.85 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 611.96 = 261.85 : x
  2. Step 2: Convert to fraction form
    408.29/611.96 = 261.85/x
  3. Step 3: Cross multiply
    408.29x = 611.96 × 261.85
  4. Step 4: Simplify right side
    408.29x = 160,240.42
  5. Step 5: Solve for x
    x = 160,240.42/408.29
  6. Step 6: Final answer
    x = 392.47

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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.