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Finding the Fourth Proportional to 320.80, 443.34 and 279.04

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Solution

The fourth proportional to 320.80, 443.34 and 279.04 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 443.34 = 279.04 : x
  2. Step 2: Convert to fraction form
    320.80/443.34 = 279.04/x
  3. Step 3: Cross multiply
    320.80x = 443.34 × 279.04
  4. Step 4: Simplify right side
    320.80x = 123,709.59
  5. Step 5: Solve for x
    x = 123,709.59/320.80
  6. Step 6: Final answer
    x = 385.63

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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.