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Finding the Fourth Proportional to 138.60, 196.62 and 138.60

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Solution

The fourth proportional to 138.60, 196.62 and 138.60 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 196.62 = 138.60 : x
  2. Step 2: Convert to fraction form
    138.60/196.62 = 138.60/x
  3. Step 3: Cross multiply
    138.60x = 196.62 × 138.60
  4. Step 4: Simplify right side
    138.60x = 27,251.53
  5. Step 5: Solve for x
    x = 27,251.53/138.60
  6. Step 6: Final answer
    x = 196.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.