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Finding the Fourth Proportional to 115.92, 158.94 and 112.56

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Solution

The fourth proportional to 115.92, 158.94 and 112.56 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 158.94 = 112.56 : x
  2. Step 2: Convert to fraction form
    115.92/158.94 = 112.56/x
  3. Step 3: Cross multiply
    115.92x = 158.94 × 112.56
  4. Step 4: Simplify right side
    115.92x = 17,890.29
  5. Step 5: Solve for x
    x = 17,890.29/115.92
  6. Step 6: Final answer
    x = 154.33

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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.