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Finding the Fourth Proportional to 321.04, 481.04 and 280

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Solution

The fourth proportional to 321.04, 481.04 and 280 is: 419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.04 : 481.04 = 280 : x
  2. Step 2: Convert to fraction form
    321.04/481.04 = 280/x
  3. Step 3: Cross multiply
    321.04x = 481.04 × 280
  4. Step 4: Simplify right side
    321.04x = 134,691.20
  5. Step 5: Solve for x
    x = 134,691.20/321.04
  6. Step 6: Final answer
    x = 419.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.