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Finding the Fourth Proportional to 286.89, 428.39 and 225.33

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Solution

The fourth proportional to 286.89, 428.39 and 225.33 is: 336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 428.39 = 225.33 : x
  2. Step 2: Convert to fraction form
    286.89/428.39 = 225.33/x
  3. Step 3: Cross multiply
    286.89x = 428.39 × 225.33
  4. Step 4: Simplify right side
    286.89x = 96,525.85
  5. Step 5: Solve for x
    x = 96,525.85/286.89
  6. Step 6: Final answer
    x = 336.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.