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Finding the Fourth Proportional to 132.17, 199.14 and 119.35

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Solution

The fourth proportional to 132.17, 199.14 and 119.35 is: 179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.17 : 199.14 = 119.35 : x
  2. Step 2: Convert to fraction form
    132.17/199.14 = 119.35/x
  3. Step 3: Cross multiply
    132.17x = 199.14 × 119.35
  4. Step 4: Simplify right side
    132.17x = 23,765.77
  5. Step 5: Solve for x
    x = 23,765.77/132.17
  6. Step 6: Final answer
    x = 179.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.