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Finding the Fourth Proportional to 238.78, 356.45 and 206.49

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Solution

The fourth proportional to 238.78, 356.45 and 206.49 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 356.45 = 206.49 : x
  2. Step 2: Convert to fraction form
    238.78/356.45 = 206.49/x
  3. Step 3: Cross multiply
    238.78x = 356.45 × 206.49
  4. Step 4: Simplify right side
    238.78x = 73,601.24
  5. Step 5: Solve for x
    x = 73,601.24/238.78
  6. Step 6: Final answer
    x = 308.23

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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.