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Finding the Fourth Proportional to 414.68, 620.84 and 231.60

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Solution

The fourth proportional to 414.68, 620.84 and 231.60 is: 346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 620.84 = 231.60 : x
  2. Step 2: Convert to fraction form
    414.68/620.84 = 231.60/x
  3. Step 3: Cross multiply
    414.68x = 620.84 × 231.60
  4. Step 4: Simplify right side
    414.68x = 143,786.54
  5. Step 5: Solve for x
    x = 143,786.54/414.68
  6. Step 6: Final answer
    x = 346.74

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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.