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Finding the Fourth Proportional to 386.75, 533.67 and 220.94

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Solution

The fourth proportional to 386.75, 533.67 and 220.94 is: 304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 533.67 = 220.94 : x
  2. Step 2: Convert to fraction form
    386.75/533.67 = 220.94/x
  3. Step 3: Cross multiply
    386.75x = 533.67 × 220.94
  4. Step 4: Simplify right side
    386.75x = 117,906.38
  5. Step 5: Solve for x
    x = 117,906.38/386.75
  6. Step 6: Final answer
    x = 304.87

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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.