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Finding the Fourth Proportional to 298.75, 449.89 and 222.26

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Solution

The fourth proportional to 298.75, 449.89 and 222.26 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 449.89 = 222.26 : x
  2. Step 2: Convert to fraction form
    298.75/449.89 = 222.26/x
  3. Step 3: Cross multiply
    298.75x = 449.89 × 222.26
  4. Step 4: Simplify right side
    298.75x = 99,992.55
  5. Step 5: Solve for x
    x = 99,992.55/298.75
  6. Step 6: Final answer
    x = 334.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.