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Finding the Fourth Proportional to 199.17, 274.77 and 115.09

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Solution

The fourth proportional to 199.17, 274.77 and 115.09 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 274.77 = 115.09 : x
  2. Step 2: Convert to fraction form
    199.17/274.77 = 115.09/x
  3. Step 3: Cross multiply
    199.17x = 274.77 × 115.09
  4. Step 4: Simplify right side
    199.17x = 31,623.28
  5. Step 5: Solve for x
    x = 31,623.28/199.17
  6. Step 6: Final answer
    x = 158.78

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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.