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Finding the Fourth Proportional to 433.28, 649.80 and 248.24

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Solution

The fourth proportional to 433.28, 649.80 and 248.24 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.28 : 649.80 = 248.24 : x
  2. Step 2: Convert to fraction form
    433.28/649.80 = 248.24/x
  3. Step 3: Cross multiply
    433.28x = 649.80 × 248.24
  4. Step 4: Simplify right side
    433.28x = 161,306.35
  5. Step 5: Solve for x
    x = 161,306.35/433.28
  6. Step 6: Final answer
    x = 372.29

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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.