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Finding the Fourth Proportional to 512.78, 768.81 and 188.11

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Solution

The fourth proportional to 512.78, 768.81 and 188.11 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 768.81 = 188.11 : x
  2. Step 2: Convert to fraction form
    512.78/768.81 = 188.11/x
  3. Step 3: Cross multiply
    512.78x = 768.81 × 188.11
  4. Step 4: Simplify right side
    512.78x = 144,617.01
  5. Step 5: Solve for x
    x = 144,617.01/512.78
  6. Step 6: Final answer
    x = 282.03

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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.