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Finding the Fourth Proportional to 115.09, 171.80 and 95.65

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Solution

The fourth proportional to 115.09, 171.80 and 95.65 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 171.80 = 95.65 : x
  2. Step 2: Convert to fraction form
    115.09/171.80 = 95.65/x
  3. Step 3: Cross multiply
    115.09x = 171.80 × 95.65
  4. Step 4: Simplify right side
    115.09x = 16,432.67
  5. Step 5: Solve for x
    x = 16,432.67/115.09
  6. Step 6: Final answer
    x = 142.78

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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.