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Finding the Fourth Proportional to 139.62, 206.94 and 137.46

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Solution

The fourth proportional to 139.62, 206.94 and 137.46 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 206.94 = 137.46 : x
  2. Step 2: Convert to fraction form
    139.62/206.94 = 137.46/x
  3. Step 3: Cross multiply
    139.62x = 206.94 × 137.46
  4. Step 4: Simplify right side
    139.62x = 28,445.97
  5. Step 5: Solve for x
    x = 28,445.97/139.62
  6. Step 6: Final answer
    x = 203.74

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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.