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Finding the Fourth Proportional to 234.62, 322 and 212.66

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Solution

The fourth proportional to 234.62, 322 and 212.66 is: 291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 322 = 212.66 : x
  2. Step 2: Convert to fraction form
    234.62/322 = 212.66/x
  3. Step 3: Cross multiply
    234.62x = 322 × 212.66
  4. Step 4: Simplify right side
    234.62x = 68,476.52
  5. Step 5: Solve for x
    x = 68,476.52/234.62
  6. Step 6: Final answer
    x = 291.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.