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Finding the Fourth Proportional to 132.23, 197.49 and 119.85

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Solution

The fourth proportional to 132.23, 197.49 and 119.85 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.23 : 197.49 = 119.85 : x
  2. Step 2: Convert to fraction form
    132.23/197.49 = 119.85/x
  3. Step 3: Cross multiply
    132.23x = 197.49 × 119.85
  4. Step 4: Simplify right side
    132.23x = 23,669.18
  5. Step 5: Solve for x
    x = 23,669.18/132.23
  6. Step 6: Final answer
    x = 179.01

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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.