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Finding the Fourth Proportional to 550.36, 827.16 and 368.83

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Solution

The fourth proportional to 550.36, 827.16 and 368.83 is: 554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 827.16 = 368.83 : x
  2. Step 2: Convert to fraction form
    550.36/827.16 = 368.83/x
  3. Step 3: Cross multiply
    550.36x = 827.16 × 368.83
  4. Step 4: Simplify right side
    550.36x = 305,081.42
  5. Step 5: Solve for x
    x = 305,081.42/550.36
  6. Step 6: Final answer
    x = 554.33

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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.