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Finding the Fourth Proportional to 512.50, 768.22 and 204.22

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Solution

The fourth proportional to 512.50, 768.22 and 204.22 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 768.22 = 204.22 : x
  2. Step 2: Convert to fraction form
    512.50/768.22 = 204.22/x
  3. Step 3: Cross multiply
    512.50x = 768.22 × 204.22
  4. Step 4: Simplify right side
    512.50x = 156,885.89
  5. Step 5: Solve for x
    x = 156,885.89/512.50
  6. Step 6: Final answer
    x = 306.12

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1.5x scale

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.