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Finding the Fourth Proportional to 227.23, 313.28 and 196.08

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Solution

The fourth proportional to 227.23, 313.28 and 196.08 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.23 : 313.28 = 196.08 : x
  2. Step 2: Convert to fraction form
    227.23/313.28 = 196.08/x
  3. Step 3: Cross multiply
    227.23x = 313.28 × 196.08
  4. Step 4: Simplify right side
    227.23x = 61,426.85
  5. Step 5: Solve for x
    x = 61,426.85/227.23
  6. Step 6: Final answer
    x = 270.33

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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.