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Finding the Fourth Proportional to 171.14, 236.38 and 115.78

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Solution

The fourth proportional to 171.14, 236.38 and 115.78 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 236.38 = 115.78 : x
  2. Step 2: Convert to fraction form
    171.14/236.38 = 115.78/x
  3. Step 3: Cross multiply
    171.14x = 236.38 × 115.78
  4. Step 4: Simplify right side
    171.14x = 27,368.20
  5. Step 5: Solve for x
    x = 27,368.20/171.14
  6. Step 6: Final answer
    x = 159.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.