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Finding the Fourth Proportional to 117.97, 163.04 and 104.76

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Solution

The fourth proportional to 117.97, 163.04 and 104.76 is: 144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.97 : 163.04 = 104.76 : x
  2. Step 2: Convert to fraction form
    117.97/163.04 = 104.76/x
  3. Step 3: Cross multiply
    117.97x = 163.04 × 104.76
  4. Step 4: Simplify right side
    117.97x = 17,079.55
  5. Step 5: Solve for x
    x = 17,079.55/117.97
  6. Step 6: Final answer
    x = 144.78

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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.