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Finding the Fourth Proportional to 199.90, 276.02 and 137.80

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Solution

The fourth proportional to 199.90, 276.02 and 137.80 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.90 : 276.02 = 137.80 : x
  2. Step 2: Convert to fraction form
    199.90/276.02 = 137.80/x
  3. Step 3: Cross multiply
    199.90x = 276.02 × 137.80
  4. Step 4: Simplify right side
    199.90x = 38,035.56
  5. Step 5: Solve for x
    x = 38,035.56/199.90
  6. Step 6: Final answer
    x = 190.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.