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Finding the Fourth Proportional to 132.40, 199.52 and 119.58

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Solution

The fourth proportional to 132.40, 199.52 and 119.58 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 199.52 = 119.58 : x
  2. Step 2: Convert to fraction form
    132.40/199.52 = 119.58/x
  3. Step 3: Cross multiply
    132.40x = 199.52 × 119.58
  4. Step 4: Simplify right side
    132.40x = 23,858.60
  5. Step 5: Solve for x
    x = 23,858.60/132.40
  6. Step 6: Final answer
    x = 180.20

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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.