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Finding the Fourth Proportional to 550.36, 825.87 and 290.55

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Solution

The fourth proportional to 550.36, 825.87 and 290.55 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 825.87 = 290.55 : x
  2. Step 2: Convert to fraction form
    550.36/825.87 = 290.55/x
  3. Step 3: Cross multiply
    550.36x = 825.87 × 290.55
  4. Step 4: Simplify right side
    550.36x = 239,956.53
  5. Step 5: Solve for x
    x = 239,956.53/550.36
  6. Step 6: Final answer
    x = 436.00

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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.