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Finding the Fourth Proportional to 518.05, 776.84 and 209.82

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Solution

The fourth proportional to 518.05, 776.84 and 209.82 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.05 : 776.84 = 209.82 : x
  2. Step 2: Convert to fraction form
    518.05/776.84 = 209.82/x
  3. Step 3: Cross multiply
    518.05x = 776.84 × 209.82
  4. Step 4: Simplify right side
    518.05x = 162,993.06
  5. Step 5: Solve for x
    x = 162,993.06/518.05
  6. Step 6: Final answer
    x = 314.63

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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.