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Finding the Fourth Proportional to 115.29, 171.79 and 111.60

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Solution

The fourth proportional to 115.29, 171.79 and 111.60 is: 166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.29 : 171.79 = 111.60 : x
  2. Step 2: Convert to fraction form
    115.29/171.79 = 111.60/x
  3. Step 3: Cross multiply
    115.29x = 171.79 × 111.60
  4. Step 4: Simplify right side
    115.29x = 19,171.49
  5. Step 5: Solve for x
    x = 19,171.49/115.29
  6. Step 6: Final answer
    x = 166.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.