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Finding the Fourth Proportional to 227.32, 315.55 and 212.92

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Solution

The fourth proportional to 227.32, 315.55 and 212.92 is: 295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.32 : 315.55 = 212.92 : x
  2. Step 2: Convert to fraction form
    227.32/315.55 = 212.92/x
  3. Step 3: Cross multiply
    227.32x = 315.55 × 212.92
  4. Step 4: Simplify right side
    227.32x = 67,186.91
  5. Step 5: Solve for x
    x = 67,186.91/227.32
  6. Step 6: Final answer
    x = 295.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.