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Finding the Fourth Proportional to 203.75, 281.18 and 159.55

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Solution

The fourth proportional to 203.75, 281.18 and 159.55 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.75 : 281.18 = 159.55 : x
  2. Step 2: Convert to fraction form
    203.75/281.18 = 159.55/x
  3. Step 3: Cross multiply
    203.75x = 281.18 × 159.55
  4. Step 4: Simplify right side
    203.75x = 44,863.02
  5. Step 5: Solve for x
    x = 44,863.02/203.75
  6. Step 6: Final answer
    x = 220.18

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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.