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Finding the Fourth Proportional to 115.73, 158.69 and 111.85

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Solution

The fourth proportional to 115.73, 158.69 and 111.85 is: 153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 158.69 = 111.85 : x
  2. Step 2: Convert to fraction form
    115.73/158.69 = 111.85/x
  3. Step 3: Cross multiply
    115.73x = 158.69 × 111.85
  4. Step 4: Simplify right side
    115.73x = 17,749.36
  5. Step 5: Solve for x
    x = 17,749.36/115.73
  6. Step 6: Final answer
    x = 153.37

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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.