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Finding the Fourth Proportional to 140.89, 193.21 and 133.87

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Solution

The fourth proportional to 140.89, 193.21 and 133.87 is: 183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.89 : 193.21 = 133.87 : x
  2. Step 2: Convert to fraction form
    140.89/193.21 = 133.87/x
  3. Step 3: Cross multiply
    140.89x = 193.21 × 133.87
  4. Step 4: Simplify right side
    140.89x = 25,865.02
  5. Step 5: Solve for x
    x = 25,865.02/140.89
  6. Step 6: Final answer
    x = 183.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.