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Finding the Fourth Proportional to 223.49, 333 and 199.25

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Solution

The fourth proportional to 223.49, 333 and 199.25 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.49 : 333 = 199.25 : x
  2. Step 2: Convert to fraction form
    223.49/333 = 199.25/x
  3. Step 3: Cross multiply
    223.49x = 333 × 199.25
  4. Step 4: Simplify right side
    223.49x = 66,348.59
  5. Step 5: Solve for x
    x = 66,348.59/223.49
  6. Step 6: Final answer
    x = 296.88

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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.