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Finding the Fourth Proportional to 591.09, 886.41 and 225.78

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Solution

The fourth proportional to 591.09, 886.41 and 225.78 is: 338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 886.41 = 225.78 : x
  2. Step 2: Convert to fraction form
    591.09/886.41 = 225.78/x
  3. Step 3: Cross multiply
    591.09x = 886.41 × 225.78
  4. Step 4: Simplify right side
    591.09x = 200,133.65
  5. Step 5: Solve for x
    x = 200,133.65/591.09
  6. Step 6: Final answer
    x = 338.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.