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Finding the Fourth Proportional to 118.98, 163.35 and 104.04

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Solution

The fourth proportional to 118.98, 163.35 and 104.04 is: 142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 163.35 = 104.04 : x
  2. Step 2: Convert to fraction form
    118.98/163.35 = 104.04/x
  3. Step 3: Cross multiply
    118.98x = 163.35 × 104.04
  4. Step 4: Simplify right side
    118.98x = 16,994.93
  5. Step 5: Solve for x
    x = 16,994.93/118.98
  6. Step 6: Final answer
    x = 142.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.