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Finding the Fourth Proportional to 321.92, 480.40 and 270.08

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Solution

The fourth proportional to 321.92, 480.40 and 270.08 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.92 : 480.40 = 270.08 : x
  2. Step 2: Convert to fraction form
    321.92/480.40 = 270.08/x
  3. Step 3: Cross multiply
    321.92x = 480.40 × 270.08
  4. Step 4: Simplify right side
    321.92x = 129,746.43
  5. Step 5: Solve for x
    x = 129,746.43/321.92
  6. Step 6: Final answer
    x = 403.04

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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.