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Finding the Fourth Proportional to 230.36, 315.61 and 227.32

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Solution

The fourth proportional to 230.36, 315.61 and 227.32 is: 311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 315.61 = 227.32 : x
  2. Step 2: Convert to fraction form
    230.36/315.61 = 227.32/x
  3. Step 3: Cross multiply
    230.36x = 315.61 × 227.32
  4. Step 4: Simplify right side
    230.36x = 71,744.47
  5. Step 5: Solve for x
    x = 71,744.47/230.36
  6. Step 6: Final answer
    x = 311.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.