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Finding the Fourth Proportional to 163.78, 226.02 and 104.80

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Solution

The fourth proportional to 163.78, 226.02 and 104.80 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 226.02 = 104.80 : x
  2. Step 2: Convert to fraction form
    163.78/226.02 = 104.80/x
  3. Step 3: Cross multiply
    163.78x = 226.02 × 104.80
  4. Step 4: Simplify right side
    163.78x = 23,686.90
  5. Step 5: Solve for x
    x = 23,686.90/163.78
  6. Step 6: Final answer
    x = 144.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.