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Finding the Fourth Proportional to 321.17, 481.01 and 270.14

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Solution

The fourth proportional to 321.17, 481.01 and 270.14 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.17 : 481.01 = 270.14 : x
  2. Step 2: Convert to fraction form
    321.17/481.01 = 270.14/x
  3. Step 3: Cross multiply
    321.17x = 481.01 × 270.14
  4. Step 4: Simplify right side
    321.17x = 129,936.29
  5. Step 5: Solve for x
    x = 129,936.29/321.17
  6. Step 6: Final answer
    x = 404.58

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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.