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Finding the Fourth Proportional to 202.30, 301.42 and 201.49

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Solution

The fourth proportional to 202.30, 301.42 and 201.49 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 301.42 = 201.49 : x
  2. Step 2: Convert to fraction form
    202.30/301.42 = 201.49/x
  3. Step 3: Cross multiply
    202.30x = 301.42 × 201.49
  4. Step 4: Simplify right side
    202.30x = 60,732.61
  5. Step 5: Solve for x
    x = 60,732.61/202.30
  6. Step 6: Final answer
    x = 300.21

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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.