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Finding the Fourth Proportional to 203.87, 281.48 and 130.28

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Solution

The fourth proportional to 203.87, 281.48 and 130.28 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.87 : 281.48 = 130.28 : x
  2. Step 2: Convert to fraction form
    203.87/281.48 = 130.28/x
  3. Step 3: Cross multiply
    203.87x = 281.48 × 130.28
  4. Step 4: Simplify right side
    203.87x = 36,671.21
  5. Step 5: Solve for x
    x = 36,671.21/203.87
  6. Step 6: Final answer
    x = 179.88

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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.