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Finding the Fourth Proportional to 414.27, 618.45 and 359.61

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Solution

The fourth proportional to 414.27, 618.45 and 359.61 is: 536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 618.45 = 359.61 : x
  2. Step 2: Convert to fraction form
    414.27/618.45 = 359.61/x
  3. Step 3: Cross multiply
    414.27x = 618.45 × 359.61
  4. Step 4: Simplify right side
    414.27x = 222,400.80
  5. Step 5: Solve for x
    x = 222,400.80/414.27
  6. Step 6: Final answer
    x = 536.85

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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.