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Finding the Fourth Proportional to 201.70, 278.39 and 168.89

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Solution

The fourth proportional to 201.70, 278.39 and 168.89 is: 233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 278.39 = 168.89 : x
  2. Step 2: Convert to fraction form
    201.70/278.39 = 168.89/x
  3. Step 3: Cross multiply
    201.70x = 278.39 × 168.89
  4. Step 4: Simplify right side
    201.70x = 47,016.44
  5. Step 5: Solve for x
    x = 47,016.44/201.70
  6. Step 6: Final answer
    x = 233.11

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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.