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Finding the Fourth Proportional to 132, 198.09 and 46.50

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Solution

The fourth proportional to 132, 198.09 and 46.50 is: 69.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 198.09 = 46.50 : x
  2. Step 2: Convert to fraction form
    132/198.09 = 46.50/x
  3. Step 3: Cross multiply
    132x = 198.09 × 46.50
  4. Step 4: Simplify right side
    132x = 9,211.19
  5. Step 5: Solve for x
    x = 9,211.19/132
  6. Step 6: Final answer
    x = 69.78

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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.