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Finding the Fourth Proportional to 109.06, 151.14 and 107.75

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Solution

The fourth proportional to 109.06, 151.14 and 107.75 is: 149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 151.14 = 107.75 : x
  2. Step 2: Convert to fraction form
    109.06/151.14 = 107.75/x
  3. Step 3: Cross multiply
    109.06x = 151.14 × 107.75
  4. Step 4: Simplify right side
    109.06x = 16,286.12
  5. Step 5: Solve for x
    x = 16,286.12/109.06
  6. Step 6: Final answer
    x = 149.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.