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Finding the Fourth Proportional to 481.28, 721.92 and 309.76

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Solution

The fourth proportional to 481.28, 721.92 and 309.76 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.28 : 721.92 = 309.76 : x
  2. Step 2: Convert to fraction form
    481.28/721.92 = 309.76/x
  3. Step 3: Cross multiply
    481.28x = 721.92 × 309.76
  4. Step 4: Simplify right side
    481.28x = 223,621.94
  5. Step 5: Solve for x
    x = 223,621.94/481.28
  6. Step 6: Final answer
    x = 464.64

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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.