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Finding the Fourth Proportional to 222.87, 306.92 and 222.20

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Solution

The fourth proportional to 222.87, 306.92 and 222.20 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 306.92 = 222.20 : x
  2. Step 2: Convert to fraction form
    222.87/306.92 = 222.20/x
  3. Step 3: Cross multiply
    222.87x = 306.92 × 222.20
  4. Step 4: Simplify right side
    222.87x = 68,197.62
  5. Step 5: Solve for x
    x = 68,197.62/222.87
  6. Step 6: Final answer
    x = 306.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.