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Finding the Fourth Proportional to 140.29, 194.42 and 138.33

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Solution

The fourth proportional to 140.29, 194.42 and 138.33 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.29 : 194.42 = 138.33 : x
  2. Step 2: Convert to fraction form
    140.29/194.42 = 138.33/x
  3. Step 3: Cross multiply
    140.29x = 194.42 × 138.33
  4. Step 4: Simplify right side
    140.29x = 26,893.43
  5. Step 5: Solve for x
    x = 26,893.43/140.29
  6. Step 6: Final answer
    x = 191.70

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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.