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Finding the Fourth Proportional to 234.56, 350.61 and 165.62

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Solution

The fourth proportional to 234.56, 350.61 and 165.62 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 350.61 = 165.62 : x
  2. Step 2: Convert to fraction form
    234.56/350.61 = 165.62/x
  3. Step 3: Cross multiply
    234.56x = 350.61 × 165.62
  4. Step 4: Simplify right side
    234.56x = 58,068.03
  5. Step 5: Solve for x
    x = 58,068.03/234.56
  6. Step 6: Final answer
    x = 247.56

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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.