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Finding the Fourth Proportional to 432.86, 649.32 and 144.29

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Solution

The fourth proportional to 432.86, 649.32 and 144.29 is: 216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 649.32 = 144.29 : x
  2. Step 2: Convert to fraction form
    432.86/649.32 = 144.29/x
  3. Step 3: Cross multiply
    432.86x = 649.32 × 144.29
  4. Step 4: Simplify right side
    432.86x = 93,687.14
  5. Step 5: Solve for x
    x = 93,687.14/432.86
  6. Step 6: Final answer
    x = 216.44

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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.