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Finding the Fourth Proportional to 414, 620.80 and 197.68

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Solution

The fourth proportional to 414, 620.80 and 197.68 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 620.80 = 197.68 : x
  2. Step 2: Convert to fraction form
    414/620.80 = 197.68/x
  3. Step 3: Cross multiply
    414x = 620.80 × 197.68
  4. Step 4: Simplify right side
    414x = 122,719.74
  5. Step 5: Solve for x
    x = 122,719.74/414
  6. Step 6: Final answer
    x = 296.42

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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.