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Finding the Fourth Proportional to 246.44, 369.12 and 138.08

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Solution

The fourth proportional to 246.44, 369.12 and 138.08 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.44 : 369.12 = 138.08 : x
  2. Step 2: Convert to fraction form
    246.44/369.12 = 138.08/x
  3. Step 3: Cross multiply
    246.44x = 369.12 × 138.08
  4. Step 4: Simplify right side
    246.44x = 50,968.09
  5. Step 5: Solve for x
    x = 50,968.09/246.44
  6. Step 6: Final answer
    x = 206.82

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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.