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Finding the Fourth Proportional to 202.92, 302.59 and 201.09

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Solution

The fourth proportional to 202.92, 302.59 and 201.09 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 302.59 = 201.09 : x
  2. Step 2: Convert to fraction form
    202.92/302.59 = 201.09/x
  3. Step 3: Cross multiply
    202.92x = 302.59 × 201.09
  4. Step 4: Simplify right side
    202.92x = 60,847.82
  5. Step 5: Solve for x
    x = 60,847.82/202.92
  6. Step 6: Final answer
    x = 299.86

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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.