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Finding the Fourth Proportional to 132.10, 197.72 and 122.48

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Solution

The fourth proportional to 132.10, 197.72 and 122.48 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.10 : 197.72 = 122.48 : x
  2. Step 2: Convert to fraction form
    132.10/197.72 = 122.48/x
  3. Step 3: Cross multiply
    132.10x = 197.72 × 122.48
  4. Step 4: Simplify right side
    132.10x = 24,216.75
  5. Step 5: Solve for x
    x = 24,216.75/132.10
  6. Step 6: Final answer
    x = 183.32

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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.