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Finding the Fourth Proportional to 204.05, 281.72 and 129.44

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Solution

The fourth proportional to 204.05, 281.72 and 129.44 is: 178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.05 : 281.72 = 129.44 : x
  2. Step 2: Convert to fraction form
    204.05/281.72 = 129.44/x
  3. Step 3: Cross multiply
    204.05x = 281.72 × 129.44
  4. Step 4: Simplify right side
    204.05x = 36,465.84
  5. Step 5: Solve for x
    x = 36,465.84/204.05
  6. Step 6: Final answer
    x = 178.71

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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.