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Finding the Fourth Proportional to 618.38, 927.71 and 207.81

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Solution

The fourth proportional to 618.38, 927.71 and 207.81 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.38 : 927.71 = 207.81 : x
  2. Step 2: Convert to fraction form
    618.38/927.71 = 207.81/x
  3. Step 3: Cross multiply
    618.38x = 927.71 × 207.81
  4. Step 4: Simplify right side
    618.38x = 192,786.38
  5. Step 5: Solve for x
    x = 192,786.38/618.38
  6. Step 6: Final answer
    x = 311.76

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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.