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Finding the Fourth Proportional to 520.15, 779.77 and 212.27

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Solution

The fourth proportional to 520.15, 779.77 and 212.27 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.15 : 779.77 = 212.27 : x
  2. Step 2: Convert to fraction form
    520.15/779.77 = 212.27/x
  3. Step 3: Cross multiply
    520.15x = 779.77 × 212.27
  4. Step 4: Simplify right side
    520.15x = 165,517.35
  5. Step 5: Solve for x
    x = 165,517.35/520.15
  6. Step 6: Final answer
    x = 318.21

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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.