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Finding the Fourth Proportional to 481.09, 721.08 and 275.76

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Solution

The fourth proportional to 481.09, 721.08 and 275.76 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.09 : 721.08 = 275.76 : x
  2. Step 2: Convert to fraction form
    481.09/721.08 = 275.76/x
  3. Step 3: Cross multiply
    481.09x = 721.08 × 275.76
  4. Step 4: Simplify right side
    481.09x = 198,845.02
  5. Step 5: Solve for x
    x = 198,845.02/481.09
  6. Step 6: Final answer
    x = 413.32

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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.