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Finding the Fourth Proportional to 115.25, 158.11 and 112.23

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Solution

The fourth proportional to 115.25, 158.11 and 112.23 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 158.11 = 112.23 : x
  2. Step 2: Convert to fraction form
    115.25/158.11 = 112.23/x
  3. Step 3: Cross multiply
    115.25x = 158.11 × 112.23
  4. Step 4: Simplify right side
    115.25x = 17,744.23
  5. Step 5: Solve for x
    x = 17,744.23/115.25
  6. Step 6: Final answer
    x = 153.96

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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.