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Finding the Fourth Proportional to 203.77, 281.32 and 138.46

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Solution

The fourth proportional to 203.77, 281.32 and 138.46 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 281.32 = 138.46 : x
  2. Step 2: Convert to fraction form
    203.77/281.32 = 138.46/x
  3. Step 3: Cross multiply
    203.77x = 281.32 × 138.46
  4. Step 4: Simplify right side
    203.77x = 38,951.82
  5. Step 5: Solve for x
    x = 38,951.82/203.77
  6. Step 6: Final answer
    x = 191.16

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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.