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Finding the Fourth Proportional to 618.34, 853.31 and 356.36

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Solution

The fourth proportional to 618.34, 853.31 and 356.36 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.34 : 853.31 = 356.36 : x
  2. Step 2: Convert to fraction form
    618.34/853.31 = 356.36/x
  3. Step 3: Cross multiply
    618.34x = 853.31 × 356.36
  4. Step 4: Simplify right side
    618.34x = 304,085.55
  5. Step 5: Solve for x
    x = 304,085.55/618.34
  6. Step 6: Final answer
    x = 491.78

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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.