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Finding the Fourth Proportional to 432.52, 648.42 and 201.29

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Solution

The fourth proportional to 432.52, 648.42 and 201.29 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 648.42 = 201.29 : x
  2. Step 2: Convert to fraction form
    432.52/648.42 = 201.29/x
  3. Step 3: Cross multiply
    432.52x = 648.42 × 201.29
  4. Step 4: Simplify right side
    432.52x = 130,517.60
  5. Step 5: Solve for x
    x = 130,517.60/432.52
  6. Step 6: Final answer
    x = 301.76

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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.