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Finding the Fourth Proportional to 331.19, 456.97 and 200.17

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Solution

The fourth proportional to 331.19, 456.97 and 200.17 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.19 : 456.97 = 200.17 : x
  2. Step 2: Convert to fraction form
    331.19/456.97 = 200.17/x
  3. Step 3: Cross multiply
    331.19x = 456.97 × 200.17
  4. Step 4: Simplify right side
    331.19x = 91,470.68
  5. Step 5: Solve for x
    x = 91,470.68/331.19
  6. Step 6: Final answer
    x = 276.19

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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.