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Finding the Fourth Proportional to 132.15, 197.15 and 122.83

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Solution

The fourth proportional to 132.15, 197.15 and 122.83 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.15 : 197.15 = 122.83 : x
  2. Step 2: Convert to fraction form
    132.15/197.15 = 122.83/x
  3. Step 3: Cross multiply
    132.15x = 197.15 × 122.83
  4. Step 4: Simplify right side
    132.15x = 24,215.32
  5. Step 5: Solve for x
    x = 24,215.32/132.15
  6. Step 6: Final answer
    x = 183.24

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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.