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Finding the Fourth Proportional to 383.20, 575.39 and 369.23

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Solution

The fourth proportional to 383.20, 575.39 and 369.23 is: 554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.20 : 575.39 = 369.23 : x
  2. Step 2: Convert to fraction form
    383.20/575.39 = 369.23/x
  3. Step 3: Cross multiply
    383.20x = 575.39 × 369.23
  4. Step 4: Simplify right side
    383.20x = 212,449.30
  5. Step 5: Solve for x
    x = 212,449.30/383.20
  6. Step 6: Final answer
    x = 554.41

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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.