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Finding the Fourth Proportional to 300.80, 415.01 and 202.61

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Solution

The fourth proportional to 300.80, 415.01 and 202.61 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 415.01 = 202.61 : x
  2. Step 2: Convert to fraction form
    300.80/415.01 = 202.61/x
  3. Step 3: Cross multiply
    300.80x = 415.01 × 202.61
  4. Step 4: Simplify right side
    300.80x = 84,085.18
  5. Step 5: Solve for x
    x = 84,085.18/300.80
  6. Step 6: Final answer
    x = 279.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.