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Finding the Fourth Proportional to 481.68, 721.08 and 365.76

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Solution

The fourth proportional to 481.68, 721.08 and 365.76 is: 547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 721.08 = 365.76 : x
  2. Step 2: Convert to fraction form
    481.68/721.08 = 365.76/x
  3. Step 3: Cross multiply
    481.68x = 721.08 × 365.76
  4. Step 4: Simplify right side
    481.68x = 263,742.22
  5. Step 5: Solve for x
    x = 263,742.22/481.68
  6. Step 6: Final answer
    x = 547.55

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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.