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Finding the Fourth Proportional to 171.46, 258.36 and 141.68

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Solution

The fourth proportional to 171.46, 258.36 and 141.68 is: 213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.46 : 258.36 = 141.68 : x
  2. Step 2: Convert to fraction form
    171.46/258.36 = 141.68/x
  3. Step 3: Cross multiply
    171.46x = 258.36 × 141.68
  4. Step 4: Simplify right side
    171.46x = 36,604.44
  5. Step 5: Solve for x
    x = 36,604.44/171.46
  6. Step 6: Final answer
    x = 213.49

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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.