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Finding the Fourth Proportional to 247.32, 338.82 and 238.09

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Solution

The fourth proportional to 247.32, 338.82 and 238.09 is: 326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.32 : 338.82 = 238.09 : x
  2. Step 2: Convert to fraction form
    247.32/338.82 = 238.09/x
  3. Step 3: Cross multiply
    247.32x = 338.82 × 238.09
  4. Step 4: Simplify right side
    247.32x = 80,667.96
  5. Step 5: Solve for x
    x = 80,667.96/247.32
  6. Step 6: Final answer
    x = 326.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.