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Finding the Fourth Proportional to 520.16, 779.63 and 211.82

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Solution

The fourth proportional to 520.16, 779.63 and 211.82 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.16 : 779.63 = 211.82 : x
  2. Step 2: Convert to fraction form
    520.16/779.63 = 211.82/x
  3. Step 3: Cross multiply
    520.16x = 779.63 × 211.82
  4. Step 4: Simplify right side
    520.16x = 165,136.27
  5. Step 5: Solve for x
    x = 165,136.27/520.16
  6. Step 6: Final answer
    x = 317.48

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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.