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Finding the Fourth Proportional to 414.56, 621.64 and 241.27

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Solution

The fourth proportional to 414.56, 621.64 and 241.27 is: 361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 621.64 = 241.27 : x
  2. Step 2: Convert to fraction form
    414.56/621.64 = 241.27/x
  3. Step 3: Cross multiply
    414.56x = 621.64 × 241.27
  4. Step 4: Simplify right side
    414.56x = 149,980.93
  5. Step 5: Solve for x
    x = 149,980.93/414.56
  6. Step 6: Final answer
    x = 361.79

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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.