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Finding the Fourth Proportional to 367.66, 550.68 and 290.22

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Solution

The fourth proportional to 367.66, 550.68 and 290.22 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 550.68 = 290.22 : x
  2. Step 2: Convert to fraction form
    367.66/550.68 = 290.22/x
  3. Step 3: Cross multiply
    367.66x = 550.68 × 290.22
  4. Step 4: Simplify right side
    367.66x = 159,818.35
  5. Step 5: Solve for x
    x = 159,818.35/367.66
  6. Step 6: Final answer
    x = 434.69

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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.