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Finding the Fourth Proportional to 235.72, 324.48 and 227.44

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Solution

The fourth proportional to 235.72, 324.48 and 227.44 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 324.48 = 227.44 : x
  2. Step 2: Convert to fraction form
    235.72/324.48 = 227.44/x
  3. Step 3: Cross multiply
    235.72x = 324.48 × 227.44
  4. Step 4: Simplify right side
    235.72x = 73,799.73
  5. Step 5: Solve for x
    x = 73,799.73/235.72
  6. Step 6: Final answer
    x = 313.08

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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.