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Finding the Fourth Proportional to 300.76, 449.38 and 222.34

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Solution

The fourth proportional to 300.76, 449.38 and 222.34 is: 332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 449.38 = 222.34 : x
  2. Step 2: Convert to fraction form
    300.76/449.38 = 222.34/x
  3. Step 3: Cross multiply
    300.76x = 449.38 × 222.34
  4. Step 4: Simplify right side
    300.76x = 99,915.15
  5. Step 5: Solve for x
    x = 99,915.15/300.76
  6. Step 6: Final answer
    x = 332.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.