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Finding the Fourth Proportional to 230.83, 344.05 and 213.27

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Solution

The fourth proportional to 230.83, 344.05 and 213.27 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.83 : 344.05 = 213.27 : x
  2. Step 2: Convert to fraction form
    230.83/344.05 = 213.27/x
  3. Step 3: Cross multiply
    230.83x = 344.05 × 213.27
  4. Step 4: Simplify right side
    230.83x = 73,375.01
  5. Step 5: Solve for x
    x = 73,375.01/230.83
  6. Step 6: Final answer
    x = 317.88

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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.