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Finding the Fourth Proportional to 215.55, 323.25 and 69.27

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Solution

The fourth proportional to 215.55, 323.25 and 69.27 is: 103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.55 : 323.25 = 69.27 : x
  2. Step 2: Convert to fraction form
    215.55/323.25 = 69.27/x
  3. Step 3: Cross multiply
    215.55x = 323.25 × 69.27
  4. Step 4: Simplify right side
    215.55x = 22,391.53
  5. Step 5: Solve for x
    x = 22,391.53/215.55
  6. Step 6: Final answer
    x = 103.88

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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.