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Finding the Fourth Proportional to 101.89, 141.33 and 98.25

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Solution

The fourth proportional to 101.89, 141.33 and 98.25 is: 136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.89 : 141.33 = 98.25 : x
  2. Step 2: Convert to fraction form
    101.89/141.33 = 98.25/x
  3. Step 3: Cross multiply
    101.89x = 141.33 × 98.25
  4. Step 4: Simplify right side
    101.89x = 13,884.97
  5. Step 5: Solve for x
    x = 13,884.97/101.89
  6. Step 6: Final answer
    x = 136.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.