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Finding the Fourth Proportional to 203.76, 279.66 and 196.56

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Solution

The fourth proportional to 203.76, 279.66 and 196.56 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 279.66 = 196.56 : x
  2. Step 2: Convert to fraction form
    203.76/279.66 = 196.56/x
  3. Step 3: Cross multiply
    203.76x = 279.66 × 196.56
  4. Step 4: Simplify right side
    203.76x = 54,969.97
  5. Step 5: Solve for x
    x = 54,969.97/203.76
  6. Step 6: Final answer
    x = 269.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.