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Finding the Fourth Proportional to 193.96, 267.83 and 124.15

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Solution

The fourth proportional to 193.96, 267.83 and 124.15 is: 171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 267.83 = 124.15 : x
  2. Step 2: Convert to fraction form
    193.96/267.83 = 124.15/x
  3. Step 3: Cross multiply
    193.96x = 267.83 × 124.15
  4. Step 4: Simplify right side
    193.96x = 33,251.09
  5. Step 5: Solve for x
    x = 33,251.09/193.96
  6. Step 6: Final answer
    x = 171.43

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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.