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Finding the Fourth Proportional to 618.27, 927.45 and 196.09

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Solution

The fourth proportional to 618.27, 927.45 and 196.09 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.27 : 927.45 = 196.09 : x
  2. Step 2: Convert to fraction form
    618.27/927.45 = 196.09/x
  3. Step 3: Cross multiply
    618.27x = 927.45 × 196.09
  4. Step 4: Simplify right side
    618.27x = 181,863.67
  5. Step 5: Solve for x
    x = 181,863.67/618.27
  6. Step 6: Final answer
    x = 294.15

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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.