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Finding the Fourth Proportional to 321.79, 443.85 and 205.30

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Solution

The fourth proportional to 321.79, 443.85 and 205.30 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.79 : 443.85 = 205.30 : x
  2. Step 2: Convert to fraction form
    321.79/443.85 = 205.30/x
  3. Step 3: Cross multiply
    321.79x = 443.85 × 205.30
  4. Step 4: Simplify right side
    321.79x = 91,122.41
  5. Step 5: Solve for x
    x = 91,122.41/321.79
  6. Step 6: Final answer
    x = 283.17

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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.