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Finding the Fourth Proportional to 263.44, 395.12 and 212

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Solution

The fourth proportional to 263.44, 395.12 and 212 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.44 : 395.12 = 212 : x
  2. Step 2: Convert to fraction form
    263.44/395.12 = 212/x
  3. Step 3: Cross multiply
    263.44x = 395.12 × 212
  4. Step 4: Simplify right side
    263.44x = 83,765.44
  5. Step 5: Solve for x
    x = 83,765.44/263.44
  6. Step 6: Final answer
    x = 317.97

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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.