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Finding the Fourth Proportional to 414.98, 619.12 and 363.56

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Solution

The fourth proportional to 414.98, 619.12 and 363.56 is: 542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 619.12 = 363.56 : x
  2. Step 2: Convert to fraction form
    414.98/619.12 = 363.56/x
  3. Step 3: Cross multiply
    414.98x = 619.12 × 363.56
  4. Step 4: Simplify right side
    414.98x = 225,087.27
  5. Step 5: Solve for x
    x = 225,087.27/414.98
  6. Step 6: Final answer
    x = 542.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.