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Finding the Fourth Proportional to 367.20, 503.64 and 350.28

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Solution

The fourth proportional to 367.20, 503.64 and 350.28 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.20 : 503.64 = 350.28 : x
  2. Step 2: Convert to fraction form
    367.20/503.64 = 350.28/x
  3. Step 3: Cross multiply
    367.20x = 503.64 × 350.28
  4. Step 4: Simplify right side
    367.20x = 176,415.02
  5. Step 5: Solve for x
    x = 176,415.02/367.20
  6. Step 6: Final answer
    x = 480.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.