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Finding the Fourth Proportional to 215.56, 324.12 and 196.92

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Solution

The fourth proportional to 215.56, 324.12 and 196.92 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.56 : 324.12 = 196.92 : x
  2. Step 2: Convert to fraction form
    215.56/324.12 = 196.92/x
  3. Step 3: Cross multiply
    215.56x = 324.12 × 196.92
  4. Step 4: Simplify right side
    215.56x = 63,825.71
  5. Step 5: Solve for x
    x = 63,825.71/215.56
  6. Step 6: Final answer
    x = 296.09

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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.