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Finding the Fourth Proportional to 132.21, 198 and 99.63

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Solution

The fourth proportional to 132.21, 198 and 99.63 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 198 = 99.63 : x
  2. Step 2: Convert to fraction form
    132.21/198 = 99.63/x
  3. Step 3: Cross multiply
    132.21x = 198 × 99.63
  4. Step 4: Simplify right side
    132.21x = 19,726.74
  5. Step 5: Solve for x
    x = 19,726.74/132.21
  6. Step 6: Final answer
    x = 149.21

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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.