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Finding the Fourth Proportional to 199.09, 274.63 and 125.38

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Solution

The fourth proportional to 199.09, 274.63 and 125.38 is: 172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 274.63 = 125.38 : x
  2. Step 2: Convert to fraction form
    199.09/274.63 = 125.38/x
  3. Step 3: Cross multiply
    199.09x = 274.63 × 125.38
  4. Step 4: Simplify right side
    199.09x = 34,431.11
  5. Step 5: Solve for x
    x = 34,431.11/199.09
  6. Step 6: Final answer
    x = 172.95

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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.