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Finding the Fourth Proportional to 512.36, 768.53 and 165.68

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Solution

The fourth proportional to 512.36, 768.53 and 165.68 is: 248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 768.53 = 165.68 : x
  2. Step 2: Convert to fraction form
    512.36/768.53 = 165.68/x
  3. Step 3: Cross multiply
    512.36x = 768.53 × 165.68
  4. Step 4: Simplify right side
    512.36x = 127,329.22
  5. Step 5: Solve for x
    x = 127,329.22/512.36
  6. Step 6: Final answer
    x = 248.52

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Double scale
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Similar ratio
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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.