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Finding the Fourth Proportional to 171.82, 237.18 and 112.83

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Solution

The fourth proportional to 171.82, 237.18 and 112.83 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 237.18 = 112.83 : x
  2. Step 2: Convert to fraction form
    171.82/237.18 = 112.83/x
  3. Step 3: Cross multiply
    171.82x = 237.18 × 112.83
  4. Step 4: Simplify right side
    171.82x = 26,761.02
  5. Step 5: Solve for x
    x = 26,761.02/171.82
  6. Step 6: Final answer
    x = 155.75

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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.