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Finding the Fourth Proportional to 222.88, 331.85 and 221.80

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Solution

The fourth proportional to 222.88, 331.85 and 221.80 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.88 : 331.85 = 221.80 : x
  2. Step 2: Convert to fraction form
    222.88/331.85 = 221.80/x
  3. Step 3: Cross multiply
    222.88x = 331.85 × 221.80
  4. Step 4: Simplify right side
    222.88x = 73,604.33
  5. Step 5: Solve for x
    x = 73,604.33/222.88
  6. Step 6: Final answer
    x = 330.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.