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Finding the Fourth Proportional to 222.78, 305.77 and 204.31

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Solution

The fourth proportional to 222.78, 305.77 and 204.31 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.78 : 305.77 = 204.31 : x
  2. Step 2: Convert to fraction form
    222.78/305.77 = 204.31/x
  3. Step 3: Cross multiply
    222.78x = 305.77 × 204.31
  4. Step 4: Simplify right side
    222.78x = 62,471.87
  5. Step 5: Solve for x
    x = 62,471.87/222.78
  6. Step 6: Final answer
    x = 280.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.