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Finding the Fourth Proportional to 222.14, 330.44 and 219.80

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Solution

The fourth proportional to 222.14, 330.44 and 219.80 is: 326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.14 : 330.44 = 219.80 : x
  2. Step 2: Convert to fraction form
    222.14/330.44 = 219.80/x
  3. Step 3: Cross multiply
    222.14x = 330.44 × 219.80
  4. Step 4: Simplify right side
    222.14x = 72,630.71
  5. Step 5: Solve for x
    x = 72,630.71/222.14
  6. Step 6: Final answer
    x = 326.96

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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.