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Finding the Fourth Proportional to 496.73, 745.27 and 222.80

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Solution

The fourth proportional to 496.73, 745.27 and 222.80 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.73 : 745.27 = 222.80 : x
  2. Step 2: Convert to fraction form
    496.73/745.27 = 222.80/x
  3. Step 3: Cross multiply
    496.73x = 745.27 × 222.80
  4. Step 4: Simplify right side
    496.73x = 166,046.16
  5. Step 5: Solve for x
    x = 166,046.16/496.73
  6. Step 6: Final answer
    x = 334.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.