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Finding the Fourth Proportional to 171.26, 255.82 and 146.96

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Solution

The fourth proportional to 171.26, 255.82 and 146.96 is: 219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.26 : 255.82 = 146.96 : x
  2. Step 2: Convert to fraction form
    171.26/255.82 = 146.96/x
  3. Step 3: Cross multiply
    171.26x = 255.82 × 146.96
  4. Step 4: Simplify right side
    171.26x = 37,595.31
  5. Step 5: Solve for x
    x = 37,595.31/171.26
  6. Step 6: Final answer
    x = 219.52

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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.