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Finding the Fourth Proportional to 257.92, 355.44 and 199.52

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Solution

The fourth proportional to 257.92, 355.44 and 199.52 is: 274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.92 : 355.44 = 199.52 : x
  2. Step 2: Convert to fraction form
    257.92/355.44 = 199.52/x
  3. Step 3: Cross multiply
    257.92x = 355.44 × 199.52
  4. Step 4: Simplify right side
    257.92x = 70,917.39
  5. Step 5: Solve for x
    x = 70,917.39/257.92
  6. Step 6: Final answer
    x = 274.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.