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Finding the Fourth Proportional to 132.05, 197.59 and 93.57

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Solution

The fourth proportional to 132.05, 197.59 and 93.57 is: 140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 197.59 = 93.57 : x
  2. Step 2: Convert to fraction form
    132.05/197.59 = 93.57/x
  3. Step 3: Cross multiply
    132.05x = 197.59 × 93.57
  4. Step 4: Simplify right side
    132.05x = 18,488.50
  5. Step 5: Solve for x
    x = 18,488.50/132.05
  6. Step 6: Final answer
    x = 140.01

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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.