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Finding the Fourth Proportional to 171.57, 236.80 and 112.61

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Solution

The fourth proportional to 171.57, 236.80 and 112.61 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.57 : 236.80 = 112.61 : x
  2. Step 2: Convert to fraction form
    171.57/236.80 = 112.61/x
  3. Step 3: Cross multiply
    171.57x = 236.80 × 112.61
  4. Step 4: Simplify right side
    171.57x = 26,665.45
  5. Step 5: Solve for x
    x = 26,665.45/171.57
  6. Step 6: Final answer
    x = 155.42

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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.