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Finding the Fourth Proportional to 204.87, 281.97 and 163.29

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Solution

The fourth proportional to 204.87, 281.97 and 163.29 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 281.97 = 163.29 : x
  2. Step 2: Convert to fraction form
    204.87/281.97 = 163.29/x
  3. Step 3: Cross multiply
    204.87x = 281.97 × 163.29
  4. Step 4: Simplify right side
    204.87x = 46,042.88
  5. Step 5: Solve for x
    x = 46,042.88/204.87
  6. Step 6: Final answer
    x = 224.74

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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.