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Finding the Fourth Proportional to 321.62, 443.68 and 216.57

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Solution

The fourth proportional to 321.62, 443.68 and 216.57 is: 298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.62 : 443.68 = 216.57 : x
  2. Step 2: Convert to fraction form
    321.62/443.68 = 216.57/x
  3. Step 3: Cross multiply
    321.62x = 443.68 × 216.57
  4. Step 4: Simplify right side
    321.62x = 96,088.90
  5. Step 5: Solve for x
    x = 96,088.90/321.62
  6. Step 6: Final answer
    x = 298.76

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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.