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Finding the Fourth Proportional to 431.90, 648.17 and 269.69

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Solution

The fourth proportional to 431.90, 648.17 and 269.69 is: 404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 648.17 = 269.69 : x
  2. Step 2: Convert to fraction form
    431.90/648.17 = 269.69/x
  3. Step 3: Cross multiply
    431.90x = 648.17 × 269.69
  4. Step 4: Simplify right side
    431.90x = 174,800.38
  5. Step 5: Solve for x
    x = 174,800.38/431.90
  6. Step 6: Final answer
    x = 404.73

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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.