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Finding the Fourth Proportional to 140.73, 210.97 and 68.64

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Solution

The fourth proportional to 140.73, 210.97 and 68.64 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 210.97 = 68.64 : x
  2. Step 2: Convert to fraction form
    140.73/210.97 = 68.64/x
  3. Step 3: Cross multiply
    140.73x = 210.97 × 68.64
  4. Step 4: Simplify right side
    140.73x = 14,480.98
  5. Step 5: Solve for x
    x = 14,480.98/140.73
  6. Step 6: Final answer
    x = 102.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.