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Finding the Fourth Proportional to 322.28, 481.33 and 279.08

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Solution

The fourth proportional to 322.28, 481.33 and 279.08 is: 416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.28 : 481.33 = 279.08 : x
  2. Step 2: Convert to fraction form
    322.28/481.33 = 279.08/x
  3. Step 3: Cross multiply
    322.28x = 481.33 × 279.08
  4. Step 4: Simplify right side
    322.28x = 134,329.58
  5. Step 5: Solve for x
    x = 134,329.58/322.28
  6. Step 6: Final answer
    x = 416.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.