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Finding the Fourth Proportional to 481.68, 722.37 and 273.19

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Solution

The fourth proportional to 481.68, 722.37 and 273.19 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 722.37 = 273.19 : x
  2. Step 2: Convert to fraction form
    481.68/722.37 = 273.19/x
  3. Step 3: Cross multiply
    481.68x = 722.37 × 273.19
  4. Step 4: Simplify right side
    481.68x = 197,344.26
  5. Step 5: Solve for x
    x = 197,344.26/481.68
  6. Step 6: Final answer
    x = 409.70

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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.