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Finding the Fourth Proportional to 496.68, 685.44 and 300.12

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Solution

The fourth proportional to 496.68, 685.44 and 300.12 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 685.44 = 300.12 : x
  2. Step 2: Convert to fraction form
    496.68/685.44 = 300.12/x
  3. Step 3: Cross multiply
    496.68x = 685.44 × 300.12
  4. Step 4: Simplify right side
    496.68x = 205,714.25
  5. Step 5: Solve for x
    x = 205,714.25/496.68
  6. Step 6: Final answer
    x = 414.18

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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.