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Finding the Fourth Proportional to 114.85, 171.09 and 108.96

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Solution

The fourth proportional to 114.85, 171.09 and 108.96 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.85 : 171.09 = 108.96 : x
  2. Step 2: Convert to fraction form
    114.85/171.09 = 108.96/x
  3. Step 3: Cross multiply
    114.85x = 171.09 × 108.96
  4. Step 4: Simplify right side
    114.85x = 18,641.97
  5. Step 5: Solve for x
    x = 18,641.97/114.85
  6. Step 6: Final answer
    x = 162.32

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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.