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Finding the Fourth Proportional to 171.38, 235.11 and 160.94

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Solution

The fourth proportional to 171.38, 235.11 and 160.94 is: 220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 235.11 = 160.94 : x
  2. Step 2: Convert to fraction form
    171.38/235.11 = 160.94/x
  3. Step 3: Cross multiply
    171.38x = 235.11 × 160.94
  4. Step 4: Simplify right side
    171.38x = 37,837.43
  5. Step 5: Solve for x
    x = 37,837.43/171.38
  6. Step 6: Final answer
    x = 220.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.