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Finding the Fourth Proportional to 203.78, 281.20 and 115.26

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Solution

The fourth proportional to 203.78, 281.20 and 115.26 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 281.20 = 115.26 : x
  2. Step 2: Convert to fraction form
    203.78/281.20 = 115.26/x
  3. Step 3: Cross multiply
    203.78x = 281.20 × 115.26
  4. Step 4: Simplify right side
    203.78x = 32,411.11
  5. Step 5: Solve for x
    x = 32,411.11/203.78
  6. Step 6: Final answer
    x = 159.05

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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.