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Finding the Fourth Proportional to 118.73, 164.14 and 98.24

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Solution

The fourth proportional to 118.73, 164.14 and 98.24 is: 135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.73 : 164.14 = 98.24 : x
  2. Step 2: Convert to fraction form
    118.73/164.14 = 98.24/x
  3. Step 3: Cross multiply
    118.73x = 164.14 × 98.24
  4. Step 4: Simplify right side
    118.73x = 16,124.05
  5. Step 5: Solve for x
    x = 16,124.05/118.73
  6. Step 6: Final answer
    x = 135.80

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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.