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Finding the Fourth Proportional to 518.08, 776.78 and 193.26

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Solution

The fourth proportional to 518.08, 776.78 and 193.26 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 776.78 = 193.26 : x
  2. Step 2: Convert to fraction form
    518.08/776.78 = 193.26/x
  3. Step 3: Cross multiply
    518.08x = 776.78 × 193.26
  4. Step 4: Simplify right side
    518.08x = 150,120.50
  5. Step 5: Solve for x
    x = 150,120.50/518.08
  6. Step 6: Final answer
    x = 289.76

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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.