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Finding the Fourth Proportional to 227.73, 339.81 and 218.83

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Solution

The fourth proportional to 227.73, 339.81 and 218.83 is: 326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.73 : 339.81 = 218.83 : x
  2. Step 2: Convert to fraction form
    227.73/339.81 = 218.83/x
  3. Step 3: Cross multiply
    227.73x = 339.81 × 218.83
  4. Step 4: Simplify right side
    227.73x = 74,360.62
  5. Step 5: Solve for x
    x = 74,360.62/227.73
  6. Step 6: Final answer
    x = 326.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.