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Finding the Fourth Proportional to 215.38, 321.44 and 213.96

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Solution

The fourth proportional to 215.38, 321.44 and 213.96 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 321.44 = 213.96 : x
  2. Step 2: Convert to fraction form
    215.38/321.44 = 213.96/x
  3. Step 3: Cross multiply
    215.38x = 321.44 × 213.96
  4. Step 4: Simplify right side
    215.38x = 68,775.30
  5. Step 5: Solve for x
    x = 68,775.30/215.38
  6. Step 6: Final answer
    x = 319.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.