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Finding the Fourth Proportional to 199.31, 274.89 and 160.12

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Solution

The fourth proportional to 199.31, 274.89 and 160.12 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.31 : 274.89 = 160.12 : x
  2. Step 2: Convert to fraction form
    199.31/274.89 = 160.12/x
  3. Step 3: Cross multiply
    199.31x = 274.89 × 160.12
  4. Step 4: Simplify right side
    199.31x = 44,016.33
  5. Step 5: Solve for x
    x = 44,016.33/199.31
  6. Step 6: Final answer
    x = 220.85

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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.