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Finding the Fourth Proportional to 257.92, 387.84 and 197.44

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Solution

The fourth proportional to 257.92, 387.84 and 197.44 is: 296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 387.84 = 197.44 : x
  2. Step 2: Convert to fraction form
    257.92/387.84 = 197.44/x
  3. Step 3: Cross multiply
    257.92x = 387.84 × 197.44
  4. Step 4: Simplify right side
    257.92x = 76,575.13
  5. Step 5: Solve for x
    x = 76,575.13/257.92
  6. Step 6: Final answer
    x = 296.89

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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.