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Finding the Fourth Proportional to 432.80, 649.41 and 213.56

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Solution

The fourth proportional to 432.80, 649.41 and 213.56 is: 320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 649.41 = 213.56 : x
  2. Step 2: Convert to fraction form
    432.80/649.41 = 213.56/x
  3. Step 3: Cross multiply
    432.80x = 649.41 × 213.56
  4. Step 4: Simplify right side
    432.80x = 138,688.00
  5. Step 5: Solve for x
    x = 138,688.00/432.80
  6. Step 6: Final answer
    x = 320.44

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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.