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Finding the Fourth Proportional to 512.20, 767.85 and 182.98

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Solution

The fourth proportional to 512.20, 767.85 and 182.98 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 767.85 = 182.98 : x
  2. Step 2: Convert to fraction form
    512.20/767.85 = 182.98/x
  3. Step 3: Cross multiply
    512.20x = 767.85 × 182.98
  4. Step 4: Simplify right side
    512.20x = 140,501.19
  5. Step 5: Solve for x
    x = 140,501.19/512.20
  6. Step 6: Final answer
    x = 274.31

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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.