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Finding the Fourth Proportional to 414.49, 621.68 and 219.41

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Solution

The fourth proportional to 414.49, 621.68 and 219.41 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 621.68 = 219.41 : x
  2. Step 2: Convert to fraction form
    414.49/621.68 = 219.41/x
  3. Step 3: Cross multiply
    414.49x = 621.68 × 219.41
  4. Step 4: Simplify right side
    414.49x = 136,402.81
  5. Step 5: Solve for x
    x = 136,402.81/414.49
  6. Step 6: Final answer
    x = 329.09

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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.