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Finding the Fourth Proportional to 432.81, 649.20 and 108.17

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Solution

The fourth proportional to 432.81, 649.20 and 108.17 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 649.20 = 108.17 : x
  2. Step 2: Convert to fraction form
    432.81/649.20 = 108.17/x
  3. Step 3: Cross multiply
    432.81x = 649.20 × 108.17
  4. Step 4: Simplify right side
    432.81x = 70,225.99
  5. Step 5: Solve for x
    x = 70,225.99/432.81
  6. Step 6: Final answer
    x = 162.26

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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.