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Finding the Fourth Proportional to 321.49, 443.44 and 216.70

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Solution

The fourth proportional to 321.49, 443.44 and 216.70 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.49 : 443.44 = 216.70 : x
  2. Step 2: Convert to fraction form
    321.49/443.44 = 216.70/x
  3. Step 3: Cross multiply
    321.49x = 443.44 × 216.70
  4. Step 4: Simplify right side
    321.49x = 96,093.45
  5. Step 5: Solve for x
    x = 96,093.45/321.49
  6. Step 6: Final answer
    x = 298.90

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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.