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Finding the Fourth Proportional to 258.92, 387.98 and 231.72

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Solution

The fourth proportional to 258.92, 387.98 and 231.72 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 387.98 = 231.72 : x
  2. Step 2: Convert to fraction form
    258.92/387.98 = 231.72/x
  3. Step 3: Cross multiply
    258.92x = 387.98 × 231.72
  4. Step 4: Simplify right side
    258.92x = 89,902.73
  5. Step 5: Solve for x
    x = 89,902.73/258.92
  6. Step 6: Final answer
    x = 347.22

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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.