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Finding the Fourth Proportional to 199.97, 275.90 and 137.82

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Solution

The fourth proportional to 199.97, 275.90 and 137.82 is: 190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.97 : 275.90 = 137.82 : x
  2. Step 2: Convert to fraction form
    199.97/275.90 = 137.82/x
  3. Step 3: Cross multiply
    199.97x = 275.90 × 137.82
  4. Step 4: Simplify right side
    199.97x = 38,024.54
  5. Step 5: Solve for x
    x = 38,024.54/199.97
  6. Step 6: Final answer
    x = 190.15

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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.