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Finding the Fourth Proportional to 367.79, 550.47 and 258.23

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Solution

The fourth proportional to 367.79, 550.47 and 258.23 is: 386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.79 : 550.47 = 258.23 : x
  2. Step 2: Convert to fraction form
    367.79/550.47 = 258.23/x
  3. Step 3: Cross multiply
    367.79x = 550.47 × 258.23
  4. Step 4: Simplify right side
    367.79x = 142,147.87
  5. Step 5: Solve for x
    x = 142,147.87/367.79
  6. Step 6: Final answer
    x = 386.49

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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.