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Finding the Fourth Proportional to 481.20, 664.14 and 271.37

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Solution

The fourth proportional to 481.20, 664.14 and 271.37 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.20 : 664.14 = 271.37 : x
  2. Step 2: Convert to fraction form
    481.20/664.14 = 271.37/x
  3. Step 3: Cross multiply
    481.20x = 664.14 × 271.37
  4. Step 4: Simplify right side
    481.20x = 180,230.35
  5. Step 5: Solve for x
    x = 180,230.35/481.20
  6. Step 6: Final answer
    x = 374.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.