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Finding the Fourth Proportional to 404.02, 605.70 and 221.23

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Solution

The fourth proportional to 404.02, 605.70 and 221.23 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.02 : 605.70 = 221.23 : x
  2. Step 2: Convert to fraction form
    404.02/605.70 = 221.23/x
  3. Step 3: Cross multiply
    404.02x = 605.70 × 221.23
  4. Step 4: Simplify right side
    404.02x = 133,999.01
  5. Step 5: Solve for x
    x = 133,999.01/404.02
  6. Step 6: Final answer
    x = 331.66

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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.