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Finding the Fourth Proportional to 223.07, 333.96 and 199.62

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Solution

The fourth proportional to 223.07, 333.96 and 199.62 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.07 : 333.96 = 199.62 : x
  2. Step 2: Convert to fraction form
    223.07/333.96 = 199.62/x
  3. Step 3: Cross multiply
    223.07x = 333.96 × 199.62
  4. Step 4: Simplify right side
    223.07x = 66,665.10
  5. Step 5: Solve for x
    x = 66,665.10/223.07
  6. Step 6: Final answer
    x = 298.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.