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Finding the Fourth Proportional to 201.70, 277.45 and 168.49

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Solution

The fourth proportional to 201.70, 277.45 and 168.49 is: 231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 277.45 = 168.49 : x
  2. Step 2: Convert to fraction form
    201.70/277.45 = 168.49/x
  3. Step 3: Cross multiply
    201.70x = 277.45 × 168.49
  4. Step 4: Simplify right side
    201.70x = 46,747.55
  5. Step 5: Solve for x
    x = 46,747.55/201.70
  6. Step 6: Final answer
    x = 231.77

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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.