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Finding the Fourth Proportional to 496.68, 685.30 and 321.99

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Solution

The fourth proportional to 496.68, 685.30 and 321.99 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 685.30 = 321.99 : x
  2. Step 2: Convert to fraction form
    496.68/685.30 = 321.99/x
  3. Step 3: Cross multiply
    496.68x = 685.30 × 321.99
  4. Step 4: Simplify right side
    496.68x = 220,659.75
  5. Step 5: Solve for x
    x = 220,659.75/496.68
  6. Step 6: Final answer
    x = 444.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.