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Finding the Fourth Proportional to 115.16, 171.70 and 113.96

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Solution

The fourth proportional to 115.16, 171.70 and 113.96 is: 169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.16 : 171.70 = 113.96 : x
  2. Step 2: Convert to fraction form
    115.16/171.70 = 113.96/x
  3. Step 3: Cross multiply
    115.16x = 171.70 × 113.96
  4. Step 4: Simplify right side
    115.16x = 19,566.93
  5. Step 5: Solve for x
    x = 19,566.93/115.16
  6. Step 6: Final answer
    x = 169.91

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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.