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Finding the Fourth Proportional to 139.80, 194.20 and 138.52

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Solution

The fourth proportional to 139.80, 194.20 and 138.52 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.80 : 194.20 = 138.52 : x
  2. Step 2: Convert to fraction form
    139.80/194.20 = 138.52/x
  3. Step 3: Cross multiply
    139.80x = 194.20 × 138.52
  4. Step 4: Simplify right side
    139.80x = 26,900.58
  5. Step 5: Solve for x
    x = 26,900.58/139.80
  6. Step 6: Final answer
    x = 192.42

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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.