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Finding the Fourth Proportional to 203.74, 281.11 and 200.66

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Solution

The fourth proportional to 203.74, 281.11 and 200.66 is: 276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.74 : 281.11 = 200.66 : x
  2. Step 2: Convert to fraction form
    203.74/281.11 = 200.66/x
  3. Step 3: Cross multiply
    203.74x = 281.11 × 200.66
  4. Step 4: Simplify right side
    203.74x = 56,408.15
  5. Step 5: Solve for x
    x = 56,408.15/203.74
  6. Step 6: Final answer
    x = 276.86

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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.