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Finding the Fourth Proportional to 234.96, 349.92 and 230.40

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Solution

The fourth proportional to 234.96, 349.92 and 230.40 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 349.92 = 230.40 : x
  2. Step 2: Convert to fraction form
    234.96/349.92 = 230.40/x
  3. Step 3: Cross multiply
    234.96x = 349.92 × 230.40
  4. Step 4: Simplify right side
    234.96x = 80,621.57
  5. Step 5: Solve for x
    x = 80,621.57/234.96
  6. Step 6: Final answer
    x = 343.13

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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.