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Finding the Fourth Proportional to 511.90, 768.18 and 203.70

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Solution

The fourth proportional to 511.90, 768.18 and 203.70 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 768.18 = 203.70 : x
  2. Step 2: Convert to fraction form
    511.90/768.18 = 203.70/x
  3. Step 3: Cross multiply
    511.90x = 768.18 × 203.70
  4. Step 4: Simplify right side
    511.90x = 156,478.27
  5. Step 5: Solve for x
    x = 156,478.27/511.90
  6. Step 6: Final answer
    x = 305.68

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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.