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Finding the Fourth Proportional to 246.67, 369.92 and 84.31

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Solution

The fourth proportional to 246.67, 369.92 and 84.31 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.67 : 369.92 = 84.31 : x
  2. Step 2: Convert to fraction form
    246.67/369.92 = 84.31/x
  3. Step 3: Cross multiply
    246.67x = 369.92 × 84.31
  4. Step 4: Simplify right side
    246.67x = 31,188.67
  5. Step 5: Solve for x
    x = 31,188.67/246.67
  6. Step 6: Final answer
    x = 126.44

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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.