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Finding the Fourth Proportional to 234.20, 352.67 and 173.76

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Solution

The fourth proportional to 234.20, 352.67 and 173.76 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.20 : 352.67 = 173.76 : x
  2. Step 2: Convert to fraction form
    234.20/352.67 = 173.76/x
  3. Step 3: Cross multiply
    234.20x = 352.67 × 173.76
  4. Step 4: Simplify right side
    234.20x = 61,279.07
  5. Step 5: Solve for x
    x = 61,279.07/234.20
  6. Step 6: Final answer
    x = 261.66

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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.