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Finding the Fourth Proportional to 550.63, 825.94 and 208.63

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Solution

The fourth proportional to 550.63, 825.94 and 208.63 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.63 : 825.94 = 208.63 : x
  2. Step 2: Convert to fraction form
    550.63/825.94 = 208.63/x
  3. Step 3: Cross multiply
    550.63x = 825.94 × 208.63
  4. Step 4: Simplify right side
    550.63x = 172,311.21
  5. Step 5: Solve for x
    x = 172,311.21/550.63
  6. Step 6: Final answer
    x = 312.94

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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.