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Finding the Fourth Proportional to 234.30, 349.46 and 230.20

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Solution

The fourth proportional to 234.30, 349.46 and 230.20 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 349.46 = 230.20 : x
  2. Step 2: Convert to fraction form
    234.30/349.46 = 230.20/x
  3. Step 3: Cross multiply
    234.30x = 349.46 × 230.20
  4. Step 4: Simplify right side
    234.30x = 80,445.69
  5. Step 5: Solve for x
    x = 80,445.69/234.30
  6. Step 6: Final answer
    x = 343.34

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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.