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Finding the Fourth Proportional to 226.50, 312.36 and 163.44

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Solution

The fourth proportional to 226.50, 312.36 and 163.44 is: 225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.50 : 312.36 = 163.44 : x
  2. Step 2: Convert to fraction form
    226.50/312.36 = 163.44/x
  3. Step 3: Cross multiply
    226.50x = 312.36 × 163.44
  4. Step 4: Simplify right side
    226.50x = 51,052.12
  5. Step 5: Solve for x
    x = 51,052.12/226.50
  6. Step 6: Final answer
    x = 225.40

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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.