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Finding the Fourth Proportional to 203.68, 279.40 and 196.72

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Solution

The fourth proportional to 203.68, 279.40 and 196.72 is: 269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 279.40 = 196.72 : x
  2. Step 2: Convert to fraction form
    203.68/279.40 = 196.72/x
  3. Step 3: Cross multiply
    203.68x = 279.40 × 196.72
  4. Step 4: Simplify right side
    203.68x = 54,963.57
  5. Step 5: Solve for x
    x = 54,963.57/203.68
  6. Step 6: Final answer
    x = 269.85

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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.