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Finding the Fourth Proportional to 331.97, 458.24 and 200.95

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Solution

The fourth proportional to 331.97, 458.24 and 200.95 is: 277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 458.24 = 200.95 : x
  2. Step 2: Convert to fraction form
    331.97/458.24 = 200.95/x
  3. Step 3: Cross multiply
    331.97x = 458.24 × 200.95
  4. Step 4: Simplify right side
    331.97x = 92,081.18
  5. Step 5: Solve for x
    x = 92,081.18/331.97
  6. Step 6: Final answer
    x = 277.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.