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Finding the Fourth Proportional to 140.67, 194.03 and 129.05

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Solution

The fourth proportional to 140.67, 194.03 and 129.05 is: 178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.67 : 194.03 = 129.05 : x
  2. Step 2: Convert to fraction form
    140.67/194.03 = 129.05/x
  3. Step 3: Cross multiply
    140.67x = 194.03 × 129.05
  4. Step 4: Simplify right side
    140.67x = 25,040.26
  5. Step 5: Solve for x
    x = 25,040.26/140.67
  6. Step 6: Final answer
    x = 178.01

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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.