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Finding the Fourth Proportional to 323.19, 443.63 and 279.45

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Solution

The fourth proportional to 323.19, 443.63 and 279.45 is: 383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 443.63 = 279.45 : x
  2. Step 2: Convert to fraction form
    323.19/443.63 = 279.45/x
  3. Step 3: Cross multiply
    323.19x = 443.63 × 279.45
  4. Step 4: Simplify right side
    323.19x = 123,971.53
  5. Step 5: Solve for x
    x = 123,971.53/323.19
  6. Step 6: Final answer
    x = 383.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.