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Finding the Fourth Proportional to 132.29, 181.53 and 119.97

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Solution

The fourth proportional to 132.29, 181.53 and 119.97 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.29 : 181.53 = 119.97 : x
  2. Step 2: Convert to fraction form
    132.29/181.53 = 119.97/x
  3. Step 3: Cross multiply
    132.29x = 181.53 × 119.97
  4. Step 4: Simplify right side
    132.29x = 21,778.15
  5. Step 5: Solve for x
    x = 21,778.15/132.29
  6. Step 6: Final answer
    x = 164.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.