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Finding the Fourth Proportional to 132.15, 197.74 and 128.05

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Solution

The fourth proportional to 132.15, 197.74 and 128.05 is: 191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 197.74 = 128.05 : x
  2. Step 2: Convert to fraction form
    132.15/197.74 = 128.05/x
  3. Step 3: Cross multiply
    132.15x = 197.74 × 128.05
  4. Step 4: Simplify right side
    132.15x = 25,320.46
  5. Step 5: Solve for x
    x = 25,320.46/132.15
  6. Step 6: Final answer
    x = 191.60

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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.