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Finding the Fourth Proportional to 169.81, 234.38 and 137

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Solution

The fourth proportional to 169.81, 234.38 and 137 is: 189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.81 : 234.38 = 137 : x
  2. Step 2: Convert to fraction form
    169.81/234.38 = 137/x
  3. Step 3: Cross multiply
    169.81x = 234.38 × 137
  4. Step 4: Simplify right side
    169.81x = 32,110.06
  5. Step 5: Solve for x
    x = 32,110.06/169.81
  6. Step 6: Final answer
    x = 189.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.