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Finding the Fourth Proportional to 140.31, 194.42 and 134.64

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Solution

The fourth proportional to 140.31, 194.42 and 134.64 is: 186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 194.42 = 134.64 : x
  2. Step 2: Convert to fraction form
    140.31/194.42 = 134.64/x
  3. Step 3: Cross multiply
    140.31x = 194.42 × 134.64
  4. Step 4: Simplify right side
    140.31x = 26,176.04
  5. Step 5: Solve for x
    x = 26,176.04/140.31
  6. Step 6: Final answer
    x = 186.56

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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.