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Finding the Fourth Proportional to 115.08, 171.15 and 111.48

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Solution

The fourth proportional to 115.08, 171.15 and 111.48 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.08 : 171.15 = 111.48 : x
  2. Step 2: Convert to fraction form
    115.08/171.15 = 111.48/x
  3. Step 3: Cross multiply
    115.08x = 171.15 × 111.48
  4. Step 4: Simplify right side
    115.08x = 19,079.80
  5. Step 5: Solve for x
    x = 19,079.80/115.08
  6. Step 6: Final answer
    x = 165.80

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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.