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Finding the Fourth Proportional to 230.28, 343.81 and 191.82

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Solution

The fourth proportional to 230.28, 343.81 and 191.82 is: 286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 343.81 = 191.82 : x
  2. Step 2: Convert to fraction form
    230.28/343.81 = 191.82/x
  3. Step 3: Cross multiply
    230.28x = 343.81 × 191.82
  4. Step 4: Simplify right side
    230.28x = 65,948.42
  5. Step 5: Solve for x
    x = 65,948.42/230.28
  6. Step 6: Final answer
    x = 286.38

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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.