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Finding the Fourth Proportional to 138.62, 191.30 and 76.46

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Solution

The fourth proportional to 138.62, 191.30 and 76.46 is: 105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 191.30 = 76.46 : x
  2. Step 2: Convert to fraction form
    138.62/191.30 = 76.46/x
  3. Step 3: Cross multiply
    138.62x = 191.30 × 76.46
  4. Step 4: Simplify right side
    138.62x = 14,626.46
  5. Step 5: Solve for x
    x = 14,626.46/138.62
  6. Step 6: Final answer
    x = 105.52

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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.