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Finding the Fourth Proportional to 199.31, 274.95 and 120.60

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Solution

The fourth proportional to 199.31, 274.95 and 120.60 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 274.95 = 120.60 : x
  2. Step 2: Convert to fraction form
    199.31/274.95 = 120.60/x
  3. Step 3: Cross multiply
    199.31x = 274.95 × 120.60
  4. Step 4: Simplify right side
    199.31x = 33,158.97
  5. Step 5: Solve for x
    x = 33,158.97/199.31
  6. Step 6: Final answer
    x = 166.37

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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.