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Finding the Fourth Proportional to 321.57, 443.07 and 320.22

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Solution

The fourth proportional to 321.57, 443.07 and 320.22 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 443.07 = 320.22 : x
  2. Step 2: Convert to fraction form
    321.57/443.07 = 320.22/x
  3. Step 3: Cross multiply
    321.57x = 443.07 × 320.22
  4. Step 4: Simplify right side
    321.57x = 141,879.88
  5. Step 5: Solve for x
    x = 141,879.88/321.57
  6. Step 6: Final answer
    x = 441.21

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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.