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Finding the Fourth Proportional to 201.89, 277.98 and 169.07

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Solution

The fourth proportional to 201.89, 277.98 and 169.07 is: 232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.89 : 277.98 = 169.07 : x
  2. Step 2: Convert to fraction form
    201.89/277.98 = 169.07/x
  3. Step 3: Cross multiply
    201.89x = 277.98 × 169.07
  4. Step 4: Simplify right side
    201.89x = 46,998.08
  5. Step 5: Solve for x
    x = 46,998.08/201.89
  6. Step 6: Final answer
    x = 232.79

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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.