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Finding the Fourth Proportional to 432.62, 649.20 and 216.22

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Solution

The fourth proportional to 432.62, 649.20 and 216.22 is: 324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 649.20 = 216.22 : x
  2. Step 2: Convert to fraction form
    432.62/649.20 = 216.22/x
  3. Step 3: Cross multiply
    432.62x = 649.20 × 216.22
  4. Step 4: Simplify right side
    432.62x = 140,370.02
  5. Step 5: Solve for x
    x = 140,370.02/432.62
  6. Step 6: Final answer
    x = 324.46

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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.