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Finding the Fourth Proportional to 138.38, 190.86 and 109.22

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Solution

The fourth proportional to 138.38, 190.86 and 109.22 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.38 : 190.86 = 109.22 : x
  2. Step 2: Convert to fraction form
    138.38/190.86 = 109.22/x
  3. Step 3: Cross multiply
    138.38x = 190.86 × 109.22
  4. Step 4: Simplify right side
    138.38x = 20,845.73
  5. Step 5: Solve for x
    x = 20,845.73/138.38
  6. Step 6: Final answer
    x = 150.64

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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.