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Finding the Fourth Proportional to 295.98, 408.38 and 226.02

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Solution

The fourth proportional to 295.98, 408.38 and 226.02 is: 311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.98 : 408.38 = 226.02 : x
  2. Step 2: Convert to fraction form
    295.98/408.38 = 226.02/x
  3. Step 3: Cross multiply
    295.98x = 408.38 × 226.02
  4. Step 4: Simplify right side
    295.98x = 92,302.05
  5. Step 5: Solve for x
    x = 92,302.05/295.98
  6. Step 6: Final answer
    x = 311.85

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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.