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Finding the Fourth Proportional to 234.06, 349.87 and 165.12

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Solution

The fourth proportional to 234.06, 349.87 and 165.12 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 349.87 = 165.12 : x
  2. Step 2: Convert to fraction form
    234.06/349.87 = 165.12/x
  3. Step 3: Cross multiply
    234.06x = 349.87 × 165.12
  4. Step 4: Simplify right side
    234.06x = 57,769.71
  5. Step 5: Solve for x
    x = 57,769.71/234.06
  6. Step 6: Final answer
    x = 246.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.