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Finding the Fourth Proportional to 132.93, 198.44 and 123.41

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Solution

The fourth proportional to 132.93, 198.44 and 123.41 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.93 : 198.44 = 123.41 : x
  2. Step 2: Convert to fraction form
    132.93/198.44 = 123.41/x
  3. Step 3: Cross multiply
    132.93x = 198.44 × 123.41
  4. Step 4: Simplify right side
    132.93x = 24,487.87
  5. Step 5: Solve for x
    x = 24,487.87/132.93
  6. Step 6: Final answer
    x = 184.22

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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.