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Finding the Fourth Proportional to 115.86, 172.53 and 113.85

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Solution

The fourth proportional to 115.86, 172.53 and 113.85 is: 169.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.86 : 172.53 = 113.85 : x
  2. Step 2: Convert to fraction form
    115.86/172.53 = 113.85/x
  3. Step 3: Cross multiply
    115.86x = 172.53 × 113.85
  4. Step 4: Simplify right side
    115.86x = 19,642.54
  5. Step 5: Solve for x
    x = 19,642.54/115.86
  6. Step 6: Final answer
    x = 169.54

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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.