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Finding the Fourth Proportional to 367.07, 506.22 and 283.91

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Solution

The fourth proportional to 367.07, 506.22 and 283.91 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 506.22 = 283.91 : x
  2. Step 2: Convert to fraction form
    367.07/506.22 = 283.91/x
  3. Step 3: Cross multiply
    367.07x = 506.22 × 283.91
  4. Step 4: Simplify right side
    367.07x = 143,720.92
  5. Step 5: Solve for x
    x = 143,720.92/367.07
  6. Step 6: Final answer
    x = 391.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.