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Finding the Fourth Proportional to 258.54, 387.82 and 121.43

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Solution

The fourth proportional to 258.54, 387.82 and 121.43 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 387.82 = 121.43 : x
  2. Step 2: Convert to fraction form
    258.54/387.82 = 121.43/x
  3. Step 3: Cross multiply
    258.54x = 387.82 × 121.43
  4. Step 4: Simplify right side
    258.54x = 47,091.97
  5. Step 5: Solve for x
    x = 47,091.97/258.54
  6. Step 6: Final answer
    x = 182.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.