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Finding the Fourth Proportional to 432.82, 649.08 and 213.28

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Solution

The fourth proportional to 432.82, 649.08 and 213.28 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.82 : 649.08 = 213.28 : x
  2. Step 2: Convert to fraction form
    432.82/649.08 = 213.28/x
  3. Step 3: Cross multiply
    432.82x = 649.08 × 213.28
  4. Step 4: Simplify right side
    432.82x = 138,435.78
  5. Step 5: Solve for x
    x = 138,435.78/432.82
  6. Step 6: Final answer
    x = 319.85

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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.