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Finding the Fourth Proportional to 414.28, 620.88 and 221.68

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Solution

The fourth proportional to 414.28, 620.88 and 221.68 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 620.88 = 221.68 : x
  2. Step 2: Convert to fraction form
    414.28/620.88 = 221.68/x
  3. Step 3: Cross multiply
    414.28x = 620.88 × 221.68
  4. Step 4: Simplify right side
    414.28x = 137,636.68
  5. Step 5: Solve for x
    x = 137,636.68/414.28
  6. Step 6: Final answer
    x = 332.23

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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.