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Finding the Fourth Proportional to 140.09, 194.25 and 132.80

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Solution

The fourth proportional to 140.09, 194.25 and 132.80 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 194.25 = 132.80 : x
  2. Step 2: Convert to fraction form
    140.09/194.25 = 132.80/x
  3. Step 3: Cross multiply
    140.09x = 194.25 × 132.80
  4. Step 4: Simplify right side
    140.09x = 25,796.40
  5. Step 5: Solve for x
    x = 25,796.40/140.09
  6. Step 6: Final answer
    x = 184.14

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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.