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Finding the Fourth Proportional to 107.70, 149.31 and 102.22

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Solution

The fourth proportional to 107.70, 149.31 and 102.22 is: 141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 149.31 = 102.22 : x
  2. Step 2: Convert to fraction form
    107.70/149.31 = 102.22/x
  3. Step 3: Cross multiply
    107.70x = 149.31 × 102.22
  4. Step 4: Simplify right side
    107.70x = 15,262.47
  5. Step 5: Solve for x
    x = 15,262.47/107.70
  6. Step 6: Final answer
    x = 141.71

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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.