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Finding the Fourth Proportional to 367.73, 550.52 and 257.90

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Solution

The fourth proportional to 367.73, 550.52 and 257.90 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.73 : 550.52 = 257.90 : x
  2. Step 2: Convert to fraction form
    367.73/550.52 = 257.90/x
  3. Step 3: Cross multiply
    367.73x = 550.52 × 257.90
  4. Step 4: Simplify right side
    367.73x = 141,975.07
  5. Step 5: Solve for x
    x = 141,975.07/367.73
  6. Step 6: Final answer
    x = 386.09

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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.