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Finding the Fourth Proportional to 618.43, 853.43 and 338.68

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Solution

The fourth proportional to 618.43, 853.43 and 338.68 is: 467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.43 : 853.43 = 338.68 : x
  2. Step 2: Convert to fraction form
    618.43/853.43 = 338.68/x
  3. Step 3: Cross multiply
    618.43x = 853.43 × 338.68
  4. Step 4: Simplify right side
    618.43x = 289,036.48
  5. Step 5: Solve for x
    x = 289,036.48/618.43
  6. Step 6: Final answer
    x = 467.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.