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Finding the Fourth Proportional to 223.89, 334.31 and 200.61

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Solution

The fourth proportional to 223.89, 334.31 and 200.61 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 334.31 = 200.61 : x
  2. Step 2: Convert to fraction form
    223.89/334.31 = 200.61/x
  3. Step 3: Cross multiply
    223.89x = 334.31 × 200.61
  4. Step 4: Simplify right side
    223.89x = 67,064.93
  5. Step 5: Solve for x
    x = 67,064.93/223.89
  6. Step 6: Final answer
    x = 299.54

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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.