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Finding the Fourth Proportional to 123.22, 184.78 and 40.95

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Solution

The fourth proportional to 123.22, 184.78 and 40.95 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 184.78 = 40.95 : x
  2. Step 2: Convert to fraction form
    123.22/184.78 = 40.95/x
  3. Step 3: Cross multiply
    123.22x = 184.78 × 40.95
  4. Step 4: Simplify right side
    123.22x = 7,567.43
  5. Step 5: Solve for x
    x = 7,567.43/123.22
  6. Step 6: Final answer
    x = 61.41

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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.