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Finding the Fourth Proportional to 222.12, 332.78 and 204.44

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Solution

The fourth proportional to 222.12, 332.78 and 204.44 is: 306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 332.78 = 204.44 : x
  2. Step 2: Convert to fraction form
    222.12/332.78 = 204.44/x
  3. Step 3: Cross multiply
    222.12x = 332.78 × 204.44
  4. Step 4: Simplify right side
    222.12x = 68,030.86
  5. Step 5: Solve for x
    x = 68,030.86/222.12
  6. Step 6: Final answer
    x = 306.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.