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Finding the Fourth Proportional to 225.73, 311.12 and 159.36

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Solution

The fourth proportional to 225.73, 311.12 and 159.36 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.73 : 311.12 = 159.36 : x
  2. Step 2: Convert to fraction form
    225.73/311.12 = 159.36/x
  3. Step 3: Cross multiply
    225.73x = 311.12 × 159.36
  4. Step 4: Simplify right side
    225.73x = 49,579.29
  5. Step 5: Solve for x
    x = 49,579.29/225.73
  6. Step 6: Final answer
    x = 219.64

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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.