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Finding the Fourth Proportional to 140.73, 210.27 and 133.44

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Solution

The fourth proportional to 140.73, 210.27 and 133.44 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 210.27 = 133.44 : x
  2. Step 2: Convert to fraction form
    140.73/210.27 = 133.44/x
  3. Step 3: Cross multiply
    140.73x = 210.27 × 133.44
  4. Step 4: Simplify right side
    140.73x = 28,058.43
  5. Step 5: Solve for x
    x = 28,058.43/140.73
  6. Step 6: Final answer
    x = 199.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.