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Finding the Fourth Proportional to 433.21, 649.41 and 189.67

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Solution

The fourth proportional to 433.21, 649.41 and 189.67 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.21 : 649.41 = 189.67 : x
  2. Step 2: Convert to fraction form
    433.21/649.41 = 189.67/x
  3. Step 3: Cross multiply
    433.21x = 649.41 × 189.67
  4. Step 4: Simplify right side
    433.21x = 123,173.59
  5. Step 5: Solve for x
    x = 123,173.59/433.21
  6. Step 6: Final answer
    x = 284.33

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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.