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Finding the Fourth Proportional to 234.45, 353.26 and 194.76

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Solution

The fourth proportional to 234.45, 353.26 and 194.76 is: 293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.45 : 353.26 = 194.76 : x
  2. Step 2: Convert to fraction form
    234.45/353.26 = 194.76/x
  3. Step 3: Cross multiply
    234.45x = 353.26 × 194.76
  4. Step 4: Simplify right side
    234.45x = 68,799.15
  5. Step 5: Solve for x
    x = 68,799.15/234.45
  6. Step 6: Final answer
    x = 293.46

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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.