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Finding the Fourth Proportional to 512.15, 768.34 and 165.49

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Solution

The fourth proportional to 512.15, 768.34 and 165.49 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.15 : 768.34 = 165.49 : x
  2. Step 2: Convert to fraction form
    512.15/768.34 = 165.49/x
  3. Step 3: Cross multiply
    512.15x = 768.34 × 165.49
  4. Step 4: Simplify right side
    512.15x = 127,154.26
  5. Step 5: Solve for x
    x = 127,154.26/512.15
  6. Step 6: Final answer
    x = 248.28

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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.