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Finding the Fourth Proportional to 298.67, 447.14 and 221.99

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Solution

The fourth proportional to 298.67, 447.14 and 221.99 is: 332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.67 : 447.14 = 221.99 : x
  2. Step 2: Convert to fraction form
    298.67/447.14 = 221.99/x
  3. Step 3: Cross multiply
    298.67x = 447.14 × 221.99
  4. Step 4: Simplify right side
    298.67x = 99,257.26
  5. Step 5: Solve for x
    x = 99,257.26/298.67
  6. Step 6: Final answer
    x = 332.34

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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.