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Finding the Fourth Proportional to 234.98, 353.70 and 212.62

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Solution

The fourth proportional to 234.98, 353.70 and 212.62 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 353.70 = 212.62 : x
  2. Step 2: Convert to fraction form
    234.98/353.70 = 212.62/x
  3. Step 3: Cross multiply
    234.98x = 353.70 × 212.62
  4. Step 4: Simplify right side
    234.98x = 75,202.63
  5. Step 5: Solve for x
    x = 75,202.63/234.98
  6. Step 6: Final answer
    x = 320.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.