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Finding the Fourth Proportional to 203.43, 281.05 and 193.44

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Solution

The fourth proportional to 203.43, 281.05 and 193.44 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 281.05 = 193.44 : x
  2. Step 2: Convert to fraction form
    203.43/281.05 = 193.44/x
  3. Step 3: Cross multiply
    203.43x = 281.05 × 193.44
  4. Step 4: Simplify right side
    203.43x = 54,366.31
  5. Step 5: Solve for x
    x = 54,366.31/203.43
  6. Step 6: Final answer
    x = 267.25

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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.