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Finding the Fourth Proportional to 234.18, 352.72 and 180.44

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Solution

The fourth proportional to 234.18, 352.72 and 180.44 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 352.72 = 180.44 : x
  2. Step 2: Convert to fraction form
    234.18/352.72 = 180.44/x
  3. Step 3: Cross multiply
    234.18x = 352.72 × 180.44
  4. Step 4: Simplify right side
    234.18x = 63,644.80
  5. Step 5: Solve for x
    x = 63,644.80/234.18
  6. Step 6: Final answer
    x = 271.78

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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.