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Finding the Fourth Proportional to 138.54, 191.46 and 106.08

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Solution

The fourth proportional to 138.54, 191.46 and 106.08 is: 146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 191.46 = 106.08 : x
  2. Step 2: Convert to fraction form
    138.54/191.46 = 106.08/x
  3. Step 3: Cross multiply
    138.54x = 191.46 × 106.08
  4. Step 4: Simplify right side
    138.54x = 20,310.08
  5. Step 5: Solve for x
    x = 20,310.08/138.54
  6. Step 6: Final answer
    x = 146.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.