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Finding the Fourth Proportional to 257.56, 354.92 and 195.44

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Solution

The fourth proportional to 257.56, 354.92 and 195.44 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.56 : 354.92 = 195.44 : x
  2. Step 2: Convert to fraction form
    257.56/354.92 = 195.44/x
  3. Step 3: Cross multiply
    257.56x = 354.92 × 195.44
  4. Step 4: Simplify right side
    257.56x = 69,365.56
  5. Step 5: Solve for x
    x = 69,365.56/257.56
  6. Step 6: Final answer
    x = 269.32

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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.