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Finding the Fourth Proportional to 115.03, 171.78 and 113.82

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Solution

The fourth proportional to 115.03, 171.78 and 113.82 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.03 : 171.78 = 113.82 : x
  2. Step 2: Convert to fraction form
    115.03/171.78 = 113.82/x
  3. Step 3: Cross multiply
    115.03x = 171.78 × 113.82
  4. Step 4: Simplify right side
    115.03x = 19,550.93
  5. Step 5: Solve for x
    x = 19,550.93/115.03
  6. Step 6: Final answer
    x = 169.96

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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.