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Finding the Fourth Proportional to 226.74, 312.75 and 161.28

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Solution

The fourth proportional to 226.74, 312.75 and 161.28 is: 222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.74 : 312.75 = 161.28 : x
  2. Step 2: Convert to fraction form
    226.74/312.75 = 161.28/x
  3. Step 3: Cross multiply
    226.74x = 312.75 × 161.28
  4. Step 4: Simplify right side
    226.74x = 50,440.32
  5. Step 5: Solve for x
    x = 50,440.32/226.74
  6. Step 6: Final answer
    x = 222.46

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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.