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Finding the Fourth Proportional to 140.85, 194.39 and 88.41

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Solution

The fourth proportional to 140.85, 194.39 and 88.41 is: 122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.85 : 194.39 = 88.41 : x
  2. Step 2: Convert to fraction form
    140.85/194.39 = 88.41/x
  3. Step 3: Cross multiply
    140.85x = 194.39 × 88.41
  4. Step 4: Simplify right side
    140.85x = 17,186.24
  5. Step 5: Solve for x
    x = 17,186.24/140.85
  6. Step 6: Final answer
    x = 122.02

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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.