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Finding the Fourth Proportional to 140.37, 209.42 and 137.84

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Solution

The fourth proportional to 140.37, 209.42 and 137.84 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.37 : 209.42 = 137.84 : x
  2. Step 2: Convert to fraction form
    140.37/209.42 = 137.84/x
  3. Step 3: Cross multiply
    140.37x = 209.42 × 137.84
  4. Step 4: Simplify right side
    140.37x = 28,865.23
  5. Step 5: Solve for x
    x = 28,865.23/140.37
  6. Step 6: Final answer
    x = 205.64

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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.