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Finding the Fourth Proportional to 200.22, 301.87 and 197.63

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Solution

The fourth proportional to 200.22, 301.87 and 197.63 is: 297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 301.87 = 197.63 : x
  2. Step 2: Convert to fraction form
    200.22/301.87 = 197.63/x
  3. Step 3: Cross multiply
    200.22x = 301.87 × 197.63
  4. Step 4: Simplify right side
    200.22x = 59,658.57
  5. Step 5: Solve for x
    x = 59,658.57/200.22
  6. Step 6: Final answer
    x = 297.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.