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Finding the Fourth Proportional to 115.81, 172.55 and 111.44

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Solution

The fourth proportional to 115.81, 172.55 and 111.44 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.81 : 172.55 = 111.44 : x
  2. Step 2: Convert to fraction form
    115.81/172.55 = 111.44/x
  3. Step 3: Cross multiply
    115.81x = 172.55 × 111.44
  4. Step 4: Simplify right side
    115.81x = 19,229.68
  5. Step 5: Solve for x
    x = 19,229.68/115.81
  6. Step 6: Final answer
    x = 166.05

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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.