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Finding the Fourth Proportional to 202.27, 301.63 and 200.54

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Solution

The fourth proportional to 202.27, 301.63 and 200.54 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.27 : 301.63 = 200.54 : x
  2. Step 2: Convert to fraction form
    202.27/301.63 = 200.54/x
  3. Step 3: Cross multiply
    202.27x = 301.63 × 200.54
  4. Step 4: Simplify right side
    202.27x = 60,488.88
  5. Step 5: Solve for x
    x = 60,488.88/202.27
  6. Step 6: Final answer
    x = 299.05

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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.