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Finding the Fourth Proportional to 140.62, 194.95 and 133.30

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Solution

The fourth proportional to 140.62, 194.95 and 133.30 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.62 : 194.95 = 133.30 : x
  2. Step 2: Convert to fraction form
    140.62/194.95 = 133.30/x
  3. Step 3: Cross multiply
    140.62x = 194.95 × 133.30
  4. Step 4: Simplify right side
    140.62x = 25,986.84
  5. Step 5: Solve for x
    x = 25,986.84/140.62
  6. Step 6: Final answer
    x = 184.80

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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.