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Finding the Fourth Proportional to 215.24, 323.22 and 204.29

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Solution

The fourth proportional to 215.24, 323.22 and 204.29 is: 306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 323.22 = 204.29 : x
  2. Step 2: Convert to fraction form
    215.24/323.22 = 204.29/x
  3. Step 3: Cross multiply
    215.24x = 323.22 × 204.29
  4. Step 4: Simplify right side
    215.24x = 66,027.98
  5. Step 5: Solve for x
    x = 66,027.98/215.24
  6. Step 6: Final answer
    x = 306.76

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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.