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Finding the Fourth Proportional to 432.74, 649.22 and 213.43

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Solution

The fourth proportional to 432.74, 649.22 and 213.43 is: 320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 649.22 = 213.43 : x
  2. Step 2: Convert to fraction form
    432.74/649.22 = 213.43/x
  3. Step 3: Cross multiply
    432.74x = 649.22 × 213.43
  4. Step 4: Simplify right side
    432.74x = 138,563.02
  5. Step 5: Solve for x
    x = 138,563.02/432.74
  6. Step 6: Final answer
    x = 320.20

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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.