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Finding the Fourth Proportional to 433.12, 649.80 and 189.67

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Solution

The fourth proportional to 433.12, 649.80 and 189.67 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.12 : 649.80 = 189.67 : x
  2. Step 2: Convert to fraction form
    433.12/649.80 = 189.67/x
  3. Step 3: Cross multiply
    433.12x = 649.80 × 189.67
  4. Step 4: Simplify right side
    433.12x = 123,247.57
  5. Step 5: Solve for x
    x = 123,247.57/433.12
  6. Step 6: Final answer
    x = 284.56

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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.