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Finding the Fourth Proportional to 432.80, 649.06 and 250.28

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Solution

The fourth proportional to 432.80, 649.06 and 250.28 is: 375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 649.06 = 250.28 : x
  2. Step 2: Convert to fraction form
    432.80/649.06 = 250.28/x
  3. Step 3: Cross multiply
    432.80x = 649.06 × 250.28
  4. Step 4: Simplify right side
    432.80x = 162,446.74
  5. Step 5: Solve for x
    x = 162,446.74/432.80
  6. Step 6: Final answer
    x = 375.34

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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.