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Finding the Fourth Proportional to 550.41, 825.43 and 185.15

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Solution

The fourth proportional to 550.41, 825.43 and 185.15 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.41 : 825.43 = 185.15 : x
  2. Step 2: Convert to fraction form
    550.41/825.43 = 185.15/x
  3. Step 3: Cross multiply
    550.41x = 825.43 × 185.15
  4. Step 4: Simplify right side
    550.41x = 152,828.36
  5. Step 5: Solve for x
    x = 152,828.36/550.41
  6. Step 6: Final answer
    x = 277.66

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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.