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Finding the Fourth Proportional to 512.10, 768.09 and 141.93

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Solution

The fourth proportional to 512.10, 768.09 and 141.93 is: 212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.10 : 768.09 = 141.93 : x
  2. Step 2: Convert to fraction form
    512.10/768.09 = 141.93/x
  3. Step 3: Cross multiply
    512.10x = 768.09 × 141.93
  4. Step 4: Simplify right side
    512.10x = 109,017.31
  5. Step 5: Solve for x
    x = 109,017.31/512.10
  6. Step 6: Final answer
    x = 212.88

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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.