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Finding the Fourth Proportional to 414.82, 621.79 and 219.70

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Solution

The fourth proportional to 414.82, 621.79 and 219.70 is: 329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.82 : 621.79 = 219.70 : x
  2. Step 2: Convert to fraction form
    414.82/621.79 = 219.70/x
  3. Step 3: Cross multiply
    414.82x = 621.79 × 219.70
  4. Step 4: Simplify right side
    414.82x = 136,606.93
  5. Step 5: Solve for x
    x = 136,606.93/414.82
  6. Step 6: Final answer
    x = 329.32

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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.