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Finding the Fourth Proportional to 222.33, 332.09 and 200.62

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Solution

The fourth proportional to 222.33, 332.09 and 200.62 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.33 : 332.09 = 200.62 : x
  2. Step 2: Convert to fraction form
    222.33/332.09 = 200.62/x
  3. Step 3: Cross multiply
    222.33x = 332.09 × 200.62
  4. Step 4: Simplify right side
    222.33x = 66,623.90
  5. Step 5: Solve for x
    x = 66,623.90/222.33
  6. Step 6: Final answer
    x = 299.66

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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.