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Finding the Fourth Proportional to 432.75, 649.11 and 108.11

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Solution

The fourth proportional to 432.75, 649.11 and 108.11 is: 162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 649.11 = 108.11 : x
  2. Step 2: Convert to fraction form
    432.75/649.11 = 108.11/x
  3. Step 3: Cross multiply
    432.75x = 649.11 × 108.11
  4. Step 4: Simplify right side
    432.75x = 70,175.28
  5. Step 5: Solve for x
    x = 70,175.28/432.75
  6. Step 6: Final answer
    x = 162.16

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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.