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Finding the Fourth Proportional to 257.20, 354.74 and 217.97

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Solution

The fourth proportional to 257.20, 354.74 and 217.97 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.20 : 354.74 = 217.97 : x
  2. Step 2: Convert to fraction form
    257.20/354.74 = 217.97/x
  3. Step 3: Cross multiply
    257.20x = 354.74 × 217.97
  4. Step 4: Simplify right side
    257.20x = 77,322.68
  5. Step 5: Solve for x
    x = 77,322.68/257.20
  6. Step 6: Final answer
    x = 300.63

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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.