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Finding the Fourth Proportional to 257.73, 355.31 and 218.24

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Solution

The fourth proportional to 257.73, 355.31 and 218.24 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.73 : 355.31 = 218.24 : x
  2. Step 2: Convert to fraction form
    257.73/355.31 = 218.24/x
  3. Step 3: Cross multiply
    257.73x = 355.31 × 218.24
  4. Step 4: Simplify right side
    257.73x = 77,541.62
  5. Step 5: Solve for x
    x = 77,541.62/257.73
  6. Step 6: Final answer
    x = 300.86

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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.