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Finding the Fourth Proportional to 132.36, 198.06 and 121.80

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Solution

The fourth proportional to 132.36, 198.06 and 121.80 is: 182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.36 : 198.06 = 121.80 : x
  2. Step 2: Convert to fraction form
    132.36/198.06 = 121.80/x
  3. Step 3: Cross multiply
    132.36x = 198.06 × 121.80
  4. Step 4: Simplify right side
    132.36x = 24,123.71
  5. Step 5: Solve for x
    x = 24,123.71/132.36
  6. Step 6: Final answer
    x = 182.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.