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Finding the Fourth Proportional to 238.76, 356.20 and 212.62

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Solution

The fourth proportional to 238.76, 356.20 and 212.62 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.76 : 356.20 = 212.62 : x
  2. Step 2: Convert to fraction form
    238.76/356.20 = 212.62/x
  3. Step 3: Cross multiply
    238.76x = 356.20 × 212.62
  4. Step 4: Simplify right side
    238.76x = 75,735.24
  5. Step 5: Solve for x
    x = 75,735.24/238.76
  6. Step 6: Final answer
    x = 317.20

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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.