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Finding the Fourth Proportional to 223.28, 333.19 and 196.28

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Solution

The fourth proportional to 223.28, 333.19 and 196.28 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.28 : 333.19 = 196.28 : x
  2. Step 2: Convert to fraction form
    223.28/333.19 = 196.28/x
  3. Step 3: Cross multiply
    223.28x = 333.19 × 196.28
  4. Step 4: Simplify right side
    223.28x = 65,398.53
  5. Step 5: Solve for x
    x = 65,398.53/223.28
  6. Step 6: Final answer
    x = 292.91

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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.