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Finding the Fourth Proportional to 414.31, 619.67 and 240.56

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Solution

The fourth proportional to 414.31, 619.67 and 240.56 is: 359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.31 : 619.67 = 240.56 : x
  2. Step 2: Convert to fraction form
    414.31/619.67 = 240.56/x
  3. Step 3: Cross multiply
    414.31x = 619.67 × 240.56
  4. Step 4: Simplify right side
    414.31x = 149,067.82
  5. Step 5: Solve for x
    x = 149,067.82/414.31
  6. Step 6: Final answer
    x = 359.80

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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.