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Finding the Fourth Proportional to 215.10, 321.96 and 169.56

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Solution

The fourth proportional to 215.10, 321.96 and 169.56 is: 253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 321.96 = 169.56 : x
  2. Step 2: Convert to fraction form
    215.10/321.96 = 169.56/x
  3. Step 3: Cross multiply
    215.10x = 321.96 × 169.56
  4. Step 4: Simplify right side
    215.10x = 54,591.54
  5. Step 5: Solve for x
    x = 54,591.54/215.10
  6. Step 6: Final answer
    x = 253.80

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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.