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Finding the Fourth Proportional to 109.18, 149.34 and 107.56

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Solution

The fourth proportional to 109.18, 149.34 and 107.56 is: 147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.18 : 149.34 = 107.56 : x
  2. Step 2: Convert to fraction form
    109.18/149.34 = 107.56/x
  3. Step 3: Cross multiply
    109.18x = 149.34 × 107.56
  4. Step 4: Simplify right side
    109.18x = 16,062.69
  5. Step 5: Solve for x
    x = 16,062.69/109.18
  6. Step 6: Final answer
    x = 147.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.