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Finding the Fourth Proportional to 431.99, 648.13 and 269.79

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Solution

The fourth proportional to 431.99, 648.13 and 269.79 is: 404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 648.13 = 269.79 : x
  2. Step 2: Convert to fraction form
    431.99/648.13 = 269.79/x
  3. Step 3: Cross multiply
    431.99x = 648.13 × 269.79
  4. Step 4: Simplify right side
    431.99x = 174,858.99
  5. Step 5: Solve for x
    x = 174,858.99/431.99
  6. Step 6: Final answer
    x = 404.78

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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.