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Finding the Fourth Proportional to 230.84, 344.41 and 200.46

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Solution

The fourth proportional to 230.84, 344.41 and 200.46 is: 299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 344.41 = 200.46 : x
  2. Step 2: Convert to fraction form
    230.84/344.41 = 200.46/x
  3. Step 3: Cross multiply
    230.84x = 344.41 × 200.46
  4. Step 4: Simplify right side
    230.84x = 69,039.93
  5. Step 5: Solve for x
    x = 69,039.93/230.84
  6. Step 6: Final answer
    x = 299.09

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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.