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Finding the Fourth Proportional to 140.73, 194.13 and 97.08

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Solution

The fourth proportional to 140.73, 194.13 and 97.08 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 194.13 = 97.08 : x
  2. Step 2: Convert to fraction form
    140.73/194.13 = 97.08/x
  3. Step 3: Cross multiply
    140.73x = 194.13 × 97.08
  4. Step 4: Simplify right side
    140.73x = 18,846.14
  5. Step 5: Solve for x
    x = 18,846.14/140.73
  6. Step 6: Final answer
    x = 133.92

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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.