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Finding the Fourth Proportional to 312.78, 431.41 and 238.97

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Solution

The fourth proportional to 312.78, 431.41 and 238.97 is: 329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.78 : 431.41 = 238.97 : x
  2. Step 2: Convert to fraction form
    312.78/431.41 = 238.97/x
  3. Step 3: Cross multiply
    312.78x = 431.41 × 238.97
  4. Step 4: Simplify right side
    312.78x = 103,093.27
  5. Step 5: Solve for x
    x = 103,093.27/312.78
  6. Step 6: Final answer
    x = 329.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.