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Finding the Fourth Proportional to 171.49, 258.39 and 141.72

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Solution

The fourth proportional to 171.49, 258.39 and 141.72 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 258.39 = 141.72 : x
  2. Step 2: Convert to fraction form
    171.49/258.39 = 141.72/x
  3. Step 3: Cross multiply
    171.49x = 258.39 × 141.72
  4. Step 4: Simplify right side
    171.49x = 36,620.21
  5. Step 5: Solve for x
    x = 36,620.21/171.49
  6. Step 6: Final answer
    x = 213.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.