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Finding the Fourth Proportional to 203.93, 281.56 and 129.27

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Solution

The fourth proportional to 203.93, 281.56 and 129.27 is: 178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 281.56 = 129.27 : x
  2. Step 2: Convert to fraction form
    203.93/281.56 = 129.27/x
  3. Step 3: Cross multiply
    203.93x = 281.56 × 129.27
  4. Step 4: Simplify right side
    203.93x = 36,397.26
  5. Step 5: Solve for x
    x = 36,397.26/203.93
  6. Step 6: Final answer
    x = 178.48

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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.