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Finding the Fourth Proportional to 232.45, 345.07 and 222.73

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Solution

The fourth proportional to 232.45, 345.07 and 222.73 is: 330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.45 : 345.07 = 222.73 : x
  2. Step 2: Convert to fraction form
    232.45/345.07 = 222.73/x
  3. Step 3: Cross multiply
    232.45x = 345.07 × 222.73
  4. Step 4: Simplify right side
    232.45x = 76,857.44
  5. Step 5: Solve for x
    x = 76,857.44/232.45
  6. Step 6: Final answer
    x = 330.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.