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Finding the Fourth Proportional to 605.89, 909.24 and 221.14

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Solution

The fourth proportional to 605.89, 909.24 and 221.14 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 909.24 = 221.14 : x
  2. Step 2: Convert to fraction form
    605.89/909.24 = 221.14/x
  3. Step 3: Cross multiply
    605.89x = 909.24 × 221.14
  4. Step 4: Simplify right side
    605.89x = 201,069.33
  5. Step 5: Solve for x
    x = 201,069.33/605.89
  6. Step 6: Final answer
    x = 331.86

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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.