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Finding the Fourth Proportional to 234.62, 351.64 and 205.66

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Solution

The fourth proportional to 234.62, 351.64 and 205.66 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 351.64 = 205.66 : x
  2. Step 2: Convert to fraction form
    234.62/351.64 = 205.66/x
  3. Step 3: Cross multiply
    234.62x = 351.64 × 205.66
  4. Step 4: Simplify right side
    234.62x = 72,318.28
  5. Step 5: Solve for x
    x = 72,318.28/234.62
  6. Step 6: Final answer
    x = 308.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.