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Finding the Fourth Proportional to 202.48, 301.49 and 200.04

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Solution

The fourth proportional to 202.48, 301.49 and 200.04 is: 297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 301.49 = 200.04 : x
  2. Step 2: Convert to fraction form
    202.48/301.49 = 200.04/x
  3. Step 3: Cross multiply
    202.48x = 301.49 × 200.04
  4. Step 4: Simplify right side
    202.48x = 60,310.06
  5. Step 5: Solve for x
    x = 60,310.06/202.48
  6. Step 6: Final answer
    x = 297.86

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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.