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Finding the Fourth Proportional to 230.92, 344.69 and 200.60

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Solution

The fourth proportional to 230.92, 344.69 and 200.60 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.92 : 344.69 = 200.60 : x
  2. Step 2: Convert to fraction form
    230.92/344.69 = 200.60/x
  3. Step 3: Cross multiply
    230.92x = 344.69 × 200.60
  4. Step 4: Simplify right side
    230.92x = 69,144.81
  5. Step 5: Solve for x
    x = 69,144.81/230.92
  6. Step 6: Final answer
    x = 299.43

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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.