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Finding the Fourth Proportional to 576.02, 863.60 and 229.07

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Solution

The fourth proportional to 576.02, 863.60 and 229.07 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 863.60 = 229.07 : x
  2. Step 2: Convert to fraction form
    576.02/863.60 = 229.07/x
  3. Step 3: Cross multiply
    576.02x = 863.60 × 229.07
  4. Step 4: Simplify right side
    576.02x = 197,819.39
  5. Step 5: Solve for x
    x = 197,819.39/576.02
  6. Step 6: Final answer
    x = 343.43

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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.