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Finding the Fourth Proportional to 247.78, 369.09 and 238.87

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Solution

The fourth proportional to 247.78, 369.09 and 238.87 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.78 : 369.09 = 238.87 : x
  2. Step 2: Convert to fraction form
    247.78/369.09 = 238.87/x
  3. Step 3: Cross multiply
    247.78x = 369.09 × 238.87
  4. Step 4: Simplify right side
    247.78x = 88,164.53
  5. Step 5: Solve for x
    x = 88,164.53/247.78
  6. Step 6: Final answer
    x = 355.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.