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Finding the Fourth Proportional to 107.38, 161.20 and 91.44

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Solution

The fourth proportional to 107.38, 161.20 and 91.44 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 161.20 = 91.44 : x
  2. Step 2: Convert to fraction form
    107.38/161.20 = 91.44/x
  3. Step 3: Cross multiply
    107.38x = 161.20 × 91.44
  4. Step 4: Simplify right side
    107.38x = 14,740.13
  5. Step 5: Solve for x
    x = 14,740.13/107.38
  6. Step 6: Final answer
    x = 137.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.