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Finding the Fourth Proportional to 199.22, 273.93 and 170.06

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Solution

The fourth proportional to 199.22, 273.93 and 170.06 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 273.93 = 170.06 : x
  2. Step 2: Convert to fraction form
    199.22/273.93 = 170.06/x
  3. Step 3: Cross multiply
    199.22x = 273.93 × 170.06
  4. Step 4: Simplify right side
    199.22x = 46,584.54
  5. Step 5: Solve for x
    x = 46,584.54/199.22
  6. Step 6: Final answer
    x = 233.83

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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.