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Finding the Fourth Proportional to 262.73, 394.89 and 165.84

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Solution

The fourth proportional to 262.73, 394.89 and 165.84 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.73 : 394.89 = 165.84 : x
  2. Step 2: Convert to fraction form
    262.73/394.89 = 165.84/x
  3. Step 3: Cross multiply
    262.73x = 394.89 × 165.84
  4. Step 4: Simplify right side
    262.73x = 65,488.56
  5. Step 5: Solve for x
    x = 65,488.56/262.73
  6. Step 6: Final answer
    x = 249.27

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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.