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Finding the Fourth Proportional to 414.36, 621.03 and 241.11

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Solution

The fourth proportional to 414.36, 621.03 and 241.11 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 621.03 = 241.11 : x
  2. Step 2: Convert to fraction form
    414.36/621.03 = 241.11/x
  3. Step 3: Cross multiply
    414.36x = 621.03 × 241.11
  4. Step 4: Simplify right side
    414.36x = 149,736.54
  5. Step 5: Solve for x
    x = 149,736.54/414.36
  6. Step 6: Final answer
    x = 361.37

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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.