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Finding the Fourth Proportional to 140.57, 194.81 and 138.61

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Solution

The fourth proportional to 140.57, 194.81 and 138.61 is: 192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.57 : 194.81 = 138.61 : x
  2. Step 2: Convert to fraction form
    140.57/194.81 = 138.61/x
  3. Step 3: Cross multiply
    140.57x = 194.81 × 138.61
  4. Step 4: Simplify right side
    140.57x = 27,002.51
  5. Step 5: Solve for x
    x = 27,002.51/140.57
  6. Step 6: Final answer
    x = 192.09

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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.