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Finding the Fourth Proportional to 321.40, 443.34 and 223

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Solution

The fourth proportional to 321.40, 443.34 and 223 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.40 : 443.34 = 223 : x
  2. Step 2: Convert to fraction form
    321.40/443.34 = 223/x
  3. Step 3: Cross multiply
    321.40x = 443.34 × 223
  4. Step 4: Simplify right side
    321.40x = 98,864.82
  5. Step 5: Solve for x
    x = 98,864.82/321.40
  6. Step 6: Final answer
    x = 307.61

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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.