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Finding the Fourth Proportional to 115.10, 171.55 and 111.80

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Solution

The fourth proportional to 115.10, 171.55 and 111.80 is: 166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 171.55 = 111.80 : x
  2. Step 2: Convert to fraction form
    115.10/171.55 = 111.80/x
  3. Step 3: Cross multiply
    115.10x = 171.55 × 111.80
  4. Step 4: Simplify right side
    115.10x = 19,179.29
  5. Step 5: Solve for x
    x = 19,179.29/115.10
  6. Step 6: Final answer
    x = 166.63

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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.