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Finding the Fourth Proportional to 414.62, 620.99 and 198.35

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Solution

The fourth proportional to 414.62, 620.99 and 198.35 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.62 : 620.99 = 198.35 : x
  2. Step 2: Convert to fraction form
    414.62/620.99 = 198.35/x
  3. Step 3: Cross multiply
    414.62x = 620.99 × 198.35
  4. Step 4: Simplify right side
    414.62x = 123,172.37
  5. Step 5: Solve for x
    x = 123,172.37/414.62
  6. Step 6: Final answer
    x = 297.07

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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.