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Finding the Fourth Proportional to 140.49, 193.77 and 107.68

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Solution

The fourth proportional to 140.49, 193.77 and 107.68 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.49 : 193.77 = 107.68 : x
  2. Step 2: Convert to fraction form
    140.49/193.77 = 107.68/x
  3. Step 3: Cross multiply
    140.49x = 193.77 × 107.68
  4. Step 4: Simplify right side
    140.49x = 20,865.15
  5. Step 5: Solve for x
    x = 20,865.15/140.49
  6. Step 6: Final answer
    x = 148.52

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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.