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Finding the Fourth Proportional to 132.22, 197.51 and 95.50

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Solution

The fourth proportional to 132.22, 197.51 and 95.50 is: 142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 197.51 = 95.50 : x
  2. Step 2: Convert to fraction form
    132.22/197.51 = 95.50/x
  3. Step 3: Cross multiply
    132.22x = 197.51 × 95.50
  4. Step 4: Simplify right side
    132.22x = 18,862.21
  5. Step 5: Solve for x
    x = 18,862.21/132.22
  6. Step 6: Final answer
    x = 142.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.