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Finding the Fourth Proportional to 234.48, 350.81 and 165.23

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Solution

The fourth proportional to 234.48, 350.81 and 165.23 is: 247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 350.81 = 165.23 : x
  2. Step 2: Convert to fraction form
    234.48/350.81 = 165.23/x
  3. Step 3: Cross multiply
    234.48x = 350.81 × 165.23
  4. Step 4: Simplify right side
    234.48x = 57,964.34
  5. Step 5: Solve for x
    x = 57,964.34/234.48
  6. Step 6: Final answer
    x = 247.20

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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.