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Finding the Fourth Proportional to 512.03, 767.81 and 165.30

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Solution

The fourth proportional to 512.03, 767.81 and 165.30 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 767.81 = 165.30 : x
  2. Step 2: Convert to fraction form
    512.03/767.81 = 165.30/x
  3. Step 3: Cross multiply
    512.03x = 767.81 × 165.30
  4. Step 4: Simplify right side
    512.03x = 126,918.99
  5. Step 5: Solve for x
    x = 126,918.99/512.03
  6. Step 6: Final answer
    x = 247.87

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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.