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Finding the Fourth Proportional to 432.78, 648.96 and 140.19

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Solution

The fourth proportional to 432.78, 648.96 and 140.19 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 648.96 = 140.19 : x
  2. Step 2: Convert to fraction form
    432.78/648.96 = 140.19/x
  3. Step 3: Cross multiply
    432.78x = 648.96 × 140.19
  4. Step 4: Simplify right side
    432.78x = 90,977.70
  5. Step 5: Solve for x
    x = 90,977.70/432.78
  6. Step 6: Final answer
    x = 210.22

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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.