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Finding the Fourth Proportional to 203.90, 281.26 and 116.56

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Solution

The fourth proportional to 203.90, 281.26 and 116.56 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.90 : 281.26 = 116.56 : x
  2. Step 2: Convert to fraction form
    203.90/281.26 = 116.56/x
  3. Step 3: Cross multiply
    203.90x = 281.26 × 116.56
  4. Step 4: Simplify right side
    203.90x = 32,783.67
  5. Step 5: Solve for x
    x = 32,783.67/203.90
  6. Step 6: Final answer
    x = 160.78

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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.