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Finding the Fourth Proportional to 234.74, 323.33 and 211.37

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Solution

The fourth proportional to 234.74, 323.33 and 211.37 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 323.33 = 211.37 : x
  2. Step 2: Convert to fraction form
    234.74/323.33 = 211.37/x
  3. Step 3: Cross multiply
    234.74x = 323.33 × 211.37
  4. Step 4: Simplify right side
    234.74x = 68,339.59
  5. Step 5: Solve for x
    x = 68,339.59/234.74
  6. Step 6: Final answer
    x = 291.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.