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Finding the Fourth Proportional to 432.09, 648.03 and 123.96

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Solution

The fourth proportional to 432.09, 648.03 and 123.96 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 648.03 = 123.96 : x
  2. Step 2: Convert to fraction form
    432.09/648.03 = 123.96/x
  3. Step 3: Cross multiply
    432.09x = 648.03 × 123.96
  4. Step 4: Simplify right side
    432.09x = 80,329.80
  5. Step 5: Solve for x
    x = 80,329.80/432.09
  6. Step 6: Final answer
    x = 185.91

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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.