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Finding the Fourth Proportional to 201.41, 279.24 and 194.66

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Solution

The fourth proportional to 201.41, 279.24 and 194.66 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.41 : 279.24 = 194.66 : x
  2. Step 2: Convert to fraction form
    201.41/279.24 = 194.66/x
  3. Step 3: Cross multiply
    201.41x = 279.24 × 194.66
  4. Step 4: Simplify right side
    201.41x = 54,355.46
  5. Step 5: Solve for x
    x = 54,355.46/201.41
  6. Step 6: Final answer
    x = 269.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.