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Finding the Fourth Proportional to 169.50, 234.83 and 165.72

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Solution

The fourth proportional to 169.50, 234.83 and 165.72 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.50 : 234.83 = 165.72 : x
  2. Step 2: Convert to fraction form
    169.50/234.83 = 165.72/x
  3. Step 3: Cross multiply
    169.50x = 234.83 × 165.72
  4. Step 4: Simplify right side
    169.50x = 38,916.03
  5. Step 5: Solve for x
    x = 38,916.03/169.50
  6. Step 6: Final answer
    x = 229.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.