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Finding the Fourth Proportional to 203.66, 281.04 and 115.14

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Solution

The fourth proportional to 203.66, 281.04 and 115.14 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 281.04 = 115.14 : x
  2. Step 2: Convert to fraction form
    203.66/281.04 = 115.14/x
  3. Step 3: Cross multiply
    203.66x = 281.04 × 115.14
  4. Step 4: Simplify right side
    203.66x = 32,358.95
  5. Step 5: Solve for x
    x = 32,358.95/203.66
  6. Step 6: Final answer
    x = 158.89

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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.