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Finding the Fourth Proportional to 140.68, 194.05 and 88.20

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Solution

The fourth proportional to 140.68, 194.05 and 88.20 is: 121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.68 : 194.05 = 88.20 : x
  2. Step 2: Convert to fraction form
    140.68/194.05 = 88.20/x
  3. Step 3: Cross multiply
    140.68x = 194.05 × 88.20
  4. Step 4: Simplify right side
    140.68x = 17,115.21
  5. Step 5: Solve for x
    x = 17,115.21/140.68
  6. Step 6: Final answer
    x = 121.66

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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.