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Finding the Fourth Proportional to 257.44, 354.68 and 195.12

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Solution

The fourth proportional to 257.44, 354.68 and 195.12 is: 268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 354.68 = 195.12 : x
  2. Step 2: Convert to fraction form
    257.44/354.68 = 195.12/x
  3. Step 3: Cross multiply
    257.44x = 354.68 × 195.12
  4. Step 4: Simplify right side
    257.44x = 69,205.16
  5. Step 5: Solve for x
    x = 69,205.16/257.44
  6. Step 6: Final answer
    x = 268.82

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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.