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Finding the Fourth Proportional to 140.76, 194.34 and 131.08

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Solution

The fourth proportional to 140.76, 194.34 and 131.08 is: 180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 194.34 = 131.08 : x
  2. Step 2: Convert to fraction form
    140.76/194.34 = 131.08/x
  3. Step 3: Cross multiply
    140.76x = 194.34 × 131.08
  4. Step 4: Simplify right side
    140.76x = 25,474.09
  5. Step 5: Solve for x
    x = 25,474.09/140.76
  6. Step 6: Final answer
    x = 180.98

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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.