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Finding the Fourth Proportional to 414.08, 620.76 and 221.60

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Solution

The fourth proportional to 414.08, 620.76 and 221.60 is: 332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 620.76 = 221.60 : x
  2. Step 2: Convert to fraction form
    414.08/620.76 = 221.60/x
  3. Step 3: Cross multiply
    414.08x = 620.76 × 221.60
  4. Step 4: Simplify right side
    414.08x = 137,560.42
  5. Step 5: Solve for x
    x = 137,560.42/414.08
  6. Step 6: Final answer
    x = 332.21

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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.