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Finding the Fourth Proportional to 163.78, 226.01 and 93.83

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Solution

The fourth proportional to 163.78, 226.01 and 93.83 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 226.01 = 93.83 : x
  2. Step 2: Convert to fraction form
    163.78/226.01 = 93.83/x
  3. Step 3: Cross multiply
    163.78x = 226.01 × 93.83
  4. Step 4: Simplify right side
    163.78x = 21,206.17
  5. Step 5: Solve for x
    x = 21,206.17/163.78
  6. Step 6: Final answer
    x = 129.48

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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.