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Finding the Fourth Proportional to 139.62, 206.82 and 139.38

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Solution

The fourth proportional to 139.62, 206.82 and 139.38 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 206.82 = 139.38 : x
  2. Step 2: Convert to fraction form
    139.62/206.82 = 139.38/x
  3. Step 3: Cross multiply
    139.62x = 206.82 × 139.38
  4. Step 4: Simplify right side
    139.62x = 28,826.57
  5. Step 5: Solve for x
    x = 28,826.57/139.62
  6. Step 6: Final answer
    x = 206.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.