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Finding the Fourth Proportional to 226.20, 312.31 and 142.21

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Solution

The fourth proportional to 226.20, 312.31 and 142.21 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 312.31 = 142.21 : x
  2. Step 2: Convert to fraction form
    226.20/312.31 = 142.21/x
  3. Step 3: Cross multiply
    226.20x = 312.31 × 142.21
  4. Step 4: Simplify right side
    226.20x = 44,414.17
  5. Step 5: Solve for x
    x = 44,414.17/226.20
  6. Step 6: Final answer
    x = 196.35

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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.