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Finding the Fourth Proportional to 201.70, 301.04 and 196.84

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Solution

The fourth proportional to 201.70, 301.04 and 196.84 is: 293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.70 : 301.04 = 196.84 : x
  2. Step 2: Convert to fraction form
    201.70/301.04 = 196.84/x
  3. Step 3: Cross multiply
    201.70x = 301.04 × 196.84
  4. Step 4: Simplify right side
    201.70x = 59,256.71
  5. Step 5: Solve for x
    x = 59,256.71/201.70
  6. Step 6: Final answer
    x = 293.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.