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Finding the Fourth Proportional to 123.41, 184.38 and 122.33

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Solution

The fourth proportional to 123.41, 184.38 and 122.33 is: 182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.41 : 184.38 = 122.33 : x
  2. Step 2: Convert to fraction form
    123.41/184.38 = 122.33/x
  3. Step 3: Cross multiply
    123.41x = 184.38 × 122.33
  4. Step 4: Simplify right side
    123.41x = 22,555.21
  5. Step 5: Solve for x
    x = 22,555.21/123.41
  6. Step 6: Final answer
    x = 182.77

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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.