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Finding the Fourth Proportional to 432.30, 648.31 and 249.78

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Solution

The fourth proportional to 432.30, 648.31 and 249.78 is: 374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.30 : 648.31 = 249.78 : x
  2. Step 2: Convert to fraction form
    432.30/648.31 = 249.78/x
  3. Step 3: Cross multiply
    432.30x = 648.31 × 249.78
  4. Step 4: Simplify right side
    432.30x = 161,934.87
  5. Step 5: Solve for x
    x = 161,934.87/432.30
  6. Step 6: Final answer
    x = 374.59

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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.