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Finding the Fourth Proportional to 132, 198.15 and 63.57

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Solution

The fourth proportional to 132, 198.15 and 63.57 is: 95.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 198.15 = 63.57 : x
  2. Step 2: Convert to fraction form
    132/198.15 = 63.57/x
  3. Step 3: Cross multiply
    132x = 198.15 × 63.57
  4. Step 4: Simplify right side
    132x = 12,596.40
  5. Step 5: Solve for x
    x = 12,596.40/132
  6. Step 6: Final answer
    x = 95.43

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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.