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Finding the Fourth Proportional to 118.67, 163.77 and 74.98

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Solution

The fourth proportional to 118.67, 163.77 and 74.98 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.67 : 163.77 = 74.98 : x
  2. Step 2: Convert to fraction form
    118.67/163.77 = 74.98/x
  3. Step 3: Cross multiply
    118.67x = 163.77 × 74.98
  4. Step 4: Simplify right side
    118.67x = 12,279.47
  5. Step 5: Solve for x
    x = 12,279.47/118.67
  6. Step 6: Final answer
    x = 103.48

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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.