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Finding the Fourth Proportional to 605.84, 909.14 and 221.09

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Solution

The fourth proportional to 605.84, 909.14 and 221.09 is: 331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 909.14 = 221.09 : x
  2. Step 2: Convert to fraction form
    605.84/909.14 = 221.09/x
  3. Step 3: Cross multiply
    605.84x = 909.14 × 221.09
  4. Step 4: Simplify right side
    605.84x = 200,996.11
  5. Step 5: Solve for x
    x = 200,996.11/605.84
  6. Step 6: Final answer
    x = 331.77

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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.