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Finding the Fourth Proportional to 141.98, 196.01 and 107.10

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Solution

The fourth proportional to 141.98, 196.01 and 107.10 is: 147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.98 : 196.01 = 107.10 : x
  2. Step 2: Convert to fraction form
    141.98/196.01 = 107.10/x
  3. Step 3: Cross multiply
    141.98x = 196.01 × 107.10
  4. Step 4: Simplify right side
    141.98x = 20,992.37
  5. Step 5: Solve for x
    x = 20,992.37/141.98
  6. Step 6: Final answer
    x = 147.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.