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Finding the Fourth Proportional to 367.06, 550.38 and 123.58

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Solution

The fourth proportional to 367.06, 550.38 and 123.58 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 550.38 = 123.58 : x
  2. Step 2: Convert to fraction form
    367.06/550.38 = 123.58/x
  3. Step 3: Cross multiply
    367.06x = 550.38 × 123.58
  4. Step 4: Simplify right side
    367.06x = 68,015.96
  5. Step 5: Solve for x
    x = 68,015.96/367.06
  6. Step 6: Final answer
    x = 185.30

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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.