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Finding the Fourth Proportional to 203.96, 281.39 and 129.27

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Solution

The fourth proportional to 203.96, 281.39 and 129.27 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.96 : 281.39 = 129.27 : x
  2. Step 2: Convert to fraction form
    203.96/281.39 = 129.27/x
  3. Step 3: Cross multiply
    203.96x = 281.39 × 129.27
  4. Step 4: Simplify right side
    203.96x = 36,373.58
  5. Step 5: Solve for x
    x = 36,373.58/203.96
  6. Step 6: Final answer
    x = 178.33

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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.