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Finding the Fourth Proportional to 512.58, 768.20 and 187.64

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Solution

The fourth proportional to 512.58, 768.20 and 187.64 is: 281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 768.20 = 187.64 : x
  2. Step 2: Convert to fraction form
    512.58/768.20 = 187.64/x
  3. Step 3: Cross multiply
    512.58x = 768.20 × 187.64
  4. Step 4: Simplify right side
    512.58x = 144,145.05
  5. Step 5: Solve for x
    x = 144,145.05/512.58
  6. Step 6: Final answer
    x = 281.21

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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.