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Finding the Fourth Proportional to 140.92, 209.81 and 140.20

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Solution

The fourth proportional to 140.92, 209.81 and 140.20 is: 208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.92 : 209.81 = 140.20 : x
  2. Step 2: Convert to fraction form
    140.92/209.81 = 140.20/x
  3. Step 3: Cross multiply
    140.92x = 209.81 × 140.20
  4. Step 4: Simplify right side
    140.92x = 29,415.36
  5. Step 5: Solve for x
    x = 29,415.36/140.92
  6. Step 6: Final answer
    x = 208.74

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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.