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Finding the Fourth Proportional to 367.63, 550.46 and 290.75

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Solution

The fourth proportional to 367.63, 550.46 and 290.75 is: 435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.63 : 550.46 = 290.75 : x
  2. Step 2: Convert to fraction form
    367.63/550.46 = 290.75/x
  3. Step 3: Cross multiply
    367.63x = 550.46 × 290.75
  4. Step 4: Simplify right side
    367.63x = 160,044.22
  5. Step 5: Solve for x
    x = 160,044.22/367.63
  6. Step 6: Final answer
    x = 435.34

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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.