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Finding the Fourth Proportional to 132.26, 181.55 and 119.30

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Solution

The fourth proportional to 132.26, 181.55 and 119.30 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.26 : 181.55 = 119.30 : x
  2. Step 2: Convert to fraction form
    132.26/181.55 = 119.30/x
  3. Step 3: Cross multiply
    132.26x = 181.55 × 119.30
  4. Step 4: Simplify right side
    132.26x = 21,658.92
  5. Step 5: Solve for x
    x = 21,658.92/132.26
  6. Step 6: Final answer
    x = 163.76

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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.