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Finding the Fourth Proportional to 618.22, 927.07 and 271.37

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Solution

The fourth proportional to 618.22, 927.07 and 271.37 is: 406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 927.07 = 271.37 : x
  2. Step 2: Convert to fraction form
    618.22/927.07 = 271.37/x
  3. Step 3: Cross multiply
    618.22x = 927.07 × 271.37
  4. Step 4: Simplify right side
    618.22x = 251,580.63
  5. Step 5: Solve for x
    x = 251,580.63/618.22
  6. Step 6: Final answer
    x = 406.95

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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.