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Finding the Fourth Proportional to 408.27, 611.44 and 270.97

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Solution

The fourth proportional to 408.27, 611.44 and 270.97 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 611.44 = 270.97 : x
  2. Step 2: Convert to fraction form
    408.27/611.44 = 270.97/x
  3. Step 3: Cross multiply
    408.27x = 611.44 × 270.97
  4. Step 4: Simplify right side
    408.27x = 165,681.90
  5. Step 5: Solve for x
    x = 165,681.90/408.27
  6. Step 6: Final answer
    x = 405.81

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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.