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Finding the Fourth Proportional to 238.41, 356.71 and 214.43

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Solution

The fourth proportional to 238.41, 356.71 and 214.43 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.41 : 356.71 = 214.43 : x
  2. Step 2: Convert to fraction form
    238.41/356.71 = 214.43/x
  3. Step 3: Cross multiply
    238.41x = 356.71 × 214.43
  4. Step 4: Simplify right side
    238.41x = 76,489.33
  5. Step 5: Solve for x
    x = 76,489.33/238.41
  6. Step 6: Final answer
    x = 320.83

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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.