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Finding the Fourth Proportional to 331.49, 496.21 and 282.28

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Solution

The fourth proportional to 331.49, 496.21 and 282.28 is: 422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.49 : 496.21 = 282.28 : x
  2. Step 2: Convert to fraction form
    331.49/496.21 = 282.28/x
  3. Step 3: Cross multiply
    331.49x = 496.21 × 282.28
  4. Step 4: Simplify right side
    331.49x = 140,070.38
  5. Step 5: Solve for x
    x = 140,070.38/331.49
  6. Step 6: Final answer
    x = 422.55

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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.