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Finding the Fourth Proportional to 238.22, 356.36 and 206.06

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Solution

The fourth proportional to 238.22, 356.36 and 206.06 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 356.36 = 206.06 : x
  2. Step 2: Convert to fraction form
    238.22/356.36 = 206.06/x
  3. Step 3: Cross multiply
    238.22x = 356.36 × 206.06
  4. Step 4: Simplify right side
    238.22x = 73,432.95
  5. Step 5: Solve for x
    x = 73,432.95/238.22
  6. Step 6: Final answer
    x = 308.26

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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.