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Finding the Fourth Proportional to 171.43, 258.30 and 141.66

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Solution

The fourth proportional to 171.43, 258.30 and 141.66 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.43 : 258.30 = 141.66 : x
  2. Step 2: Convert to fraction form
    171.43/258.30 = 141.66/x
  3. Step 3: Cross multiply
    171.43x = 258.30 × 141.66
  4. Step 4: Simplify right side
    171.43x = 36,590.78
  5. Step 5: Solve for x
    x = 36,590.78/171.43
  6. Step 6: Final answer
    x = 213.45

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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.