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Finding the Fourth Proportional to 163.80, 226.04 and 98.32

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Solution

The fourth proportional to 163.80, 226.04 and 98.32 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 226.04 = 98.32 : x
  2. Step 2: Convert to fraction form
    163.80/226.04 = 98.32/x
  3. Step 3: Cross multiply
    163.80x = 226.04 × 98.32
  4. Step 4: Simplify right side
    163.80x = 22,224.25
  5. Step 5: Solve for x
    x = 22,224.25/163.80
  6. Step 6: Final answer
    x = 135.68

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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.