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Finding the Fourth Proportional to 140.84, 194.37 and 133.04

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Solution

The fourth proportional to 140.84, 194.37 and 133.04 is: 183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 194.37 = 133.04 : x
  2. Step 2: Convert to fraction form
    140.84/194.37 = 133.04/x
  3. Step 3: Cross multiply
    140.84x = 194.37 × 133.04
  4. Step 4: Simplify right side
    140.84x = 25,858.98
  5. Step 5: Solve for x
    x = 25,858.98/140.84
  6. Step 6: Final answer
    x = 183.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.