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Finding the Fourth Proportional to 246.85, 369.79 and 138.31

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Solution

The fourth proportional to 246.85, 369.79 and 138.31 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.85 : 369.79 = 138.31 : x
  2. Step 2: Convert to fraction form
    246.85/369.79 = 138.31/x
  3. Step 3: Cross multiply
    246.85x = 369.79 × 138.31
  4. Step 4: Simplify right side
    246.85x = 51,145.65
  5. Step 5: Solve for x
    x = 51,145.65/246.85
  6. Step 6: Final answer
    x = 207.19

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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.