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Finding the Fourth Proportional to 230.96, 345.36 and 227.72

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Solution

The fourth proportional to 230.96, 345.36 and 227.72 is: 340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 345.36 = 227.72 : x
  2. Step 2: Convert to fraction form
    230.96/345.36 = 227.72/x
  3. Step 3: Cross multiply
    230.96x = 345.36 × 227.72
  4. Step 4: Simplify right side
    230.96x = 78,645.38
  5. Step 5: Solve for x
    x = 78,645.38/230.96
  6. Step 6: Final answer
    x = 340.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.