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Finding the Fourth Proportional to 140.44, 193.84 and 107.64

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Solution

The fourth proportional to 140.44, 193.84 and 107.64 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.44 : 193.84 = 107.64 : x
  2. Step 2: Convert to fraction form
    140.44/193.84 = 107.64/x
  3. Step 3: Cross multiply
    140.44x = 193.84 × 107.64
  4. Step 4: Simplify right side
    140.44x = 20,864.94
  5. Step 5: Solve for x
    x = 20,864.94/140.44
  6. Step 6: Final answer
    x = 148.57

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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.