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Finding the Fourth Proportional to 234.23, 351.53 and 165.82

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Solution

The fourth proportional to 234.23, 351.53 and 165.82 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 351.53 = 165.82 : x
  2. Step 2: Convert to fraction form
    234.23/351.53 = 165.82/x
  3. Step 3: Cross multiply
    234.23x = 351.53 × 165.82
  4. Step 4: Simplify right side
    234.23x = 58,290.24
  5. Step 5: Solve for x
    x = 58,290.24/234.23
  6. Step 6: Final answer
    x = 248.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.