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Finding the Fourth Proportional to 286, 395.10 and 226.79

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Solution

The fourth proportional to 286, 395.10 and 226.79 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 395.10 = 226.79 : x
  2. Step 2: Convert to fraction form
    286/395.10 = 226.79/x
  3. Step 3: Cross multiply
    286x = 395.10 × 226.79
  4. Step 4: Simplify right side
    286x = 89,604.73
  5. Step 5: Solve for x
    x = 89,604.73/286
  6. Step 6: Final answer
    x = 313.30

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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.