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Finding the Fourth Proportional to 300.20, 415.08 and 295.55

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Solution

The fourth proportional to 300.20, 415.08 and 295.55 is: 408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.20 : 415.08 = 295.55 : x
  2. Step 2: Convert to fraction form
    300.20/415.08 = 295.55/x
  3. Step 3: Cross multiply
    300.20x = 415.08 × 295.55
  4. Step 4: Simplify right side
    300.20x = 122,676.89
  5. Step 5: Solve for x
    x = 122,676.89/300.20
  6. Step 6: Final answer
    x = 408.65

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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.