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Finding the Fourth Proportional to 138.68, 191.18 and 105.88

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Solution

The fourth proportional to 138.68, 191.18 and 105.88 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.68 : 191.18 = 105.88 : x
  2. Step 2: Convert to fraction form
    138.68/191.18 = 105.88/x
  3. Step 3: Cross multiply
    138.68x = 191.18 × 105.88
  4. Step 4: Simplify right side
    138.68x = 20,242.14
  5. Step 5: Solve for x
    x = 20,242.14/138.68
  6. Step 6: Final answer
    x = 145.96

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