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Finding the Fourth Proportional to 258.97, 354.66 and 255.56

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Solution

The fourth proportional to 258.97, 354.66 and 255.56 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.97 : 354.66 = 255.56 : x
  2. Step 2: Convert to fraction form
    258.97/354.66 = 255.56/x
  3. Step 3: Cross multiply
    258.97x = 354.66 × 255.56
  4. Step 4: Simplify right side
    258.97x = 90,635.08
  5. Step 5: Solve for x
    x = 90,635.08/258.97
  6. Step 6: Final answer
    x = 349.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.