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Finding the Fourth Proportional to 222.72, 331.20 and 220.32

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Solution

The fourth proportional to 222.72, 331.20 and 220.32 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 331.20 = 220.32 : x
  2. Step 2: Convert to fraction form
    222.72/331.20 = 220.32/x
  3. Step 3: Cross multiply
    222.72x = 331.20 × 220.32
  4. Step 4: Simplify right side
    222.72x = 72,969.98
  5. Step 5: Solve for x
    x = 72,969.98/222.72
  6. Step 6: Final answer
    x = 327.63

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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.