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Finding the Fourth Proportional to 140.87, 194.49 and 108.06

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Solution

The fourth proportional to 140.87, 194.49 and 108.06 is: 149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 194.49 = 108.06 : x
  2. Step 2: Convert to fraction form
    140.87/194.49 = 108.06/x
  3. Step 3: Cross multiply
    140.87x = 194.49 × 108.06
  4. Step 4: Simplify right side
    140.87x = 21,016.59
  5. Step 5: Solve for x
    x = 21,016.59/140.87
  6. Step 6: Final answer
    x = 149.19

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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.