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Finding the Fourth Proportional to 320.72, 443.08 and 279.44

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Solution

The fourth proportional to 320.72, 443.08 and 279.44 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 443.08 = 279.44 : x
  2. Step 2: Convert to fraction form
    320.72/443.08 = 279.44/x
  3. Step 3: Cross multiply
    320.72x = 443.08 × 279.44
  4. Step 4: Simplify right side
    320.72x = 123,814.28
  5. Step 5: Solve for x
    x = 123,814.28/320.72
  6. Step 6: Final answer
    x = 386.05

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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.