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Finding the Fourth Proportional to 171.42, 258.59 and 161.43

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Solution

The fourth proportional to 171.42, 258.59 and 161.43 is: 243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 258.59 = 161.43 : x
  2. Step 2: Convert to fraction form
    171.42/258.59 = 161.43/x
  3. Step 3: Cross multiply
    171.42x = 258.59 × 161.43
  4. Step 4: Simplify right side
    171.42x = 41,743.38
  5. Step 5: Solve for x
    x = 41,743.38/171.42
  6. Step 6: Final answer
    x = 243.52

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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.