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Finding the Fourth Proportional to 222.73, 335.73 and 213.46

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Solution

The fourth proportional to 222.73, 335.73 and 213.46 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.73 : 335.73 = 213.46 : x
  2. Step 2: Convert to fraction form
    222.73/335.73 = 213.46/x
  3. Step 3: Cross multiply
    222.73x = 335.73 × 213.46
  4. Step 4: Simplify right side
    222.73x = 71,664.93
  5. Step 5: Solve for x
    x = 71,664.93/222.73
  6. Step 6: Final answer
    x = 321.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.