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Finding the Fourth Proportional to 319.85, 441.33 and 226.56

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Solution

The fourth proportional to 319.85, 441.33 and 226.56 is: 312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 441.33 = 226.56 : x
  2. Step 2: Convert to fraction form
    319.85/441.33 = 226.56/x
  3. Step 3: Cross multiply
    319.85x = 441.33 × 226.56
  4. Step 4: Simplify right side
    319.85x = 99,987.46
  5. Step 5: Solve for x
    x = 99,987.46/319.85
  6. Step 6: Final answer
    x = 312.61

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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.