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Finding the Fourth Proportional to 203.77, 281.31 and 130.18

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Solution

The fourth proportional to 203.77, 281.31 and 130.18 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 281.31 = 130.18 : x
  2. Step 2: Convert to fraction form
    203.77/281.31 = 130.18/x
  3. Step 3: Cross multiply
    203.77x = 281.31 × 130.18
  4. Step 4: Simplify right side
    203.77x = 36,620.94
  5. Step 5: Solve for x
    x = 36,620.94/203.77
  6. Step 6: Final answer
    x = 179.72

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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.