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Finding the Fourth Proportional to 115.43, 171.32 and 109.96

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Solution

The fourth proportional to 115.43, 171.32 and 109.96 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.43 : 171.32 = 109.96 : x
  2. Step 2: Convert to fraction form
    115.43/171.32 = 109.96/x
  3. Step 3: Cross multiply
    115.43x = 171.32 × 109.96
  4. Step 4: Simplify right side
    115.43x = 18,837.37
  5. Step 5: Solve for x
    x = 18,837.37/115.43
  6. Step 6: Final answer
    x = 163.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.