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Finding the Fourth Proportional to 321.24, 443.30 and 223

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Solution

The fourth proportional to 321.24, 443.30 and 223 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 443.30 = 223 : x
  2. Step 2: Convert to fraction form
    321.24/443.30 = 223/x
  3. Step 3: Cross multiply
    321.24x = 443.30 × 223
  4. Step 4: Simplify right side
    321.24x = 98,855.90
  5. Step 5: Solve for x
    x = 98,855.90/321.24
  6. Step 6: Final answer
    x = 307.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.