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Finding the Fourth Proportional to 199.08, 274.86 and 162.27

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Solution

The fourth proportional to 199.08, 274.86 and 162.27 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 274.86 = 162.27 : x
  2. Step 2: Convert to fraction form
    199.08/274.86 = 162.27/x
  3. Step 3: Cross multiply
    199.08x = 274.86 × 162.27
  4. Step 4: Simplify right side
    199.08x = 44,601.53
  5. Step 5: Solve for x
    x = 44,601.53/199.08
  6. Step 6: Final answer
    x = 224.04

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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.