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Finding the Fourth Proportional to 512.23, 768.30 and 204.00

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Solution

The fourth proportional to 512.23, 768.30 and 204.00 is: 305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.23 : 768.30 = 204.00 : x
  2. Step 2: Convert to fraction form
    512.23/768.30 = 204.00/x
  3. Step 3: Cross multiply
    512.23x = 768.30 × 204.00
  4. Step 4: Simplify right side
    512.23x = 156,735.02
  5. Step 5: Solve for x
    x = 156,735.02/512.23
  6. Step 6: Final answer
    x = 305.98

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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.