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Finding the Fourth Proportional to 550.21, 825.13 and 184.90

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Solution

The fourth proportional to 550.21, 825.13 and 184.90 is: 277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.21 : 825.13 = 184.90 : x
  2. Step 2: Convert to fraction form
    550.21/825.13 = 184.90/x
  3. Step 3: Cross multiply
    550.21x = 825.13 × 184.90
  4. Step 4: Simplify right side
    550.21x = 152,566.54
  5. Step 5: Solve for x
    x = 152,566.54/550.21
  6. Step 6: Final answer
    x = 277.29

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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.