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Finding the Fourth Proportional to 432.83, 649.28 and 213.57

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Solution

The fourth proportional to 432.83, 649.28 and 213.57 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.83 : 649.28 = 213.57 : x
  2. Step 2: Convert to fraction form
    432.83/649.28 = 213.57/x
  3. Step 3: Cross multiply
    432.83x = 649.28 × 213.57
  4. Step 4: Simplify right side
    432.83x = 138,666.73
  5. Step 5: Solve for x
    x = 138,666.73/432.83
  6. Step 6: Final answer
    x = 320.37

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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.