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Finding the Fourth Proportional to 140.76, 210.74 and 126.80

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Solution

The fourth proportional to 140.76, 210.74 and 126.80 is: 189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 210.74 = 126.80 : x
  2. Step 2: Convert to fraction form
    140.76/210.74 = 126.80/x
  3. Step 3: Cross multiply
    140.76x = 210.74 × 126.80
  4. Step 4: Simplify right side
    140.76x = 26,720.14
  5. Step 5: Solve for x
    x = 26,720.14/140.76
  6. Step 6: Final answer
    x = 189.83

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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.