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Finding the Fourth Proportional to 404.89, 606.83 and 221.97

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Solution

The fourth proportional to 404.89, 606.83 and 221.97 is: 332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.89 : 606.83 = 221.97 : x
  2. Step 2: Convert to fraction form
    404.89/606.83 = 221.97/x
  3. Step 3: Cross multiply
    404.89x = 606.83 × 221.97
  4. Step 4: Simplify right side
    404.89x = 134,697.09
  5. Step 5: Solve for x
    x = 134,697.09/404.89
  6. Step 6: Final answer
    x = 332.67

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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.