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Finding the Fourth Proportional to 115.98, 172.61 and 111.66

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Solution

The fourth proportional to 115.98, 172.61 and 111.66 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 172.61 = 111.66 : x
  2. Step 2: Convert to fraction form
    115.98/172.61 = 111.66/x
  3. Step 3: Cross multiply
    115.98x = 172.61 × 111.66
  4. Step 4: Simplify right side
    115.98x = 19,273.07
  5. Step 5: Solve for x
    x = 19,273.07/115.98
  6. Step 6: Final answer
    x = 166.18

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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.