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Finding the Fourth Proportional to 432.97, 649.46 and 108.34

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Solution

The fourth proportional to 432.97, 649.46 and 108.34 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.97 : 649.46 = 108.34 : x
  2. Step 2: Convert to fraction form
    432.97/649.46 = 108.34/x
  3. Step 3: Cross multiply
    432.97x = 649.46 × 108.34
  4. Step 4: Simplify right side
    432.97x = 70,361.14
  5. Step 5: Solve for x
    x = 70,361.14/432.97
  6. Step 6: Final answer
    x = 162.51

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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.