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Finding the Fourth Proportional to 234.74, 353.81 and 221.51

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Solution

The fourth proportional to 234.74, 353.81 and 221.51 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 353.81 = 221.51 : x
  2. Step 2: Convert to fraction form
    234.74/353.81 = 221.51/x
  3. Step 3: Cross multiply
    234.74x = 353.81 × 221.51
  4. Step 4: Simplify right side
    234.74x = 78,369.58
  5. Step 5: Solve for x
    x = 78,369.58/234.74
  6. Step 6: Final answer
    x = 333.86

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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.