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Finding the Fourth Proportional to 323.33, 443.14 and 319.68

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Solution

The fourth proportional to 323.33, 443.14 and 319.68 is: 438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.33 : 443.14 = 319.68 : x
  2. Step 2: Convert to fraction form
    323.33/443.14 = 319.68/x
  3. Step 3: Cross multiply
    323.33x = 443.14 × 319.68
  4. Step 4: Simplify right side
    323.33x = 141,662.20
  5. Step 5: Solve for x
    x = 141,662.20/323.33
  6. Step 6: Final answer
    x = 438.14

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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.