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Finding the Fourth Proportional to 481.26, 721.98 and 276.06

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Solution

The fourth proportional to 481.26, 721.98 and 276.06 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.26 : 721.98 = 276.06 : x
  2. Step 2: Convert to fraction form
    481.26/721.98 = 276.06/x
  3. Step 3: Cross multiply
    481.26x = 721.98 × 276.06
  4. Step 4: Simplify right side
    481.26x = 199,309.80
  5. Step 5: Solve for x
    x = 199,309.80/481.26
  6. Step 6: Final answer
    x = 414.14

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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.