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Finding the Fourth Proportional to 234.27, 348.71 and 230.81

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Solution

The fourth proportional to 234.27, 348.71 and 230.81 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 348.71 = 230.81 : x
  2. Step 2: Convert to fraction form
    234.27/348.71 = 230.81/x
  3. Step 3: Cross multiply
    234.27x = 348.71 × 230.81
  4. Step 4: Simplify right side
    234.27x = 80,484.59
  5. Step 5: Solve for x
    x = 80,484.59/234.27
  6. Step 6: Final answer
    x = 343.55

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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.