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Finding the Fourth Proportional to 222.92, 309.69 and 220.92

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Solution

The fourth proportional to 222.92, 309.69 and 220.92 is: 306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 309.69 = 220.92 : x
  2. Step 2: Convert to fraction form
    222.92/309.69 = 220.92/x
  3. Step 3: Cross multiply
    222.92x = 309.69 × 220.92
  4. Step 4: Simplify right side
    222.92x = 68,415.55
  5. Step 5: Solve for x
    x = 68,415.55/222.92
  6. Step 6: Final answer
    x = 306.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.