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Finding the Fourth Proportional to 433.33, 649.97 and 189.85

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Solution

The fourth proportional to 433.33, 649.97 and 189.85 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.33 : 649.97 = 189.85 : x
  2. Step 2: Convert to fraction form
    433.33/649.97 = 189.85/x
  3. Step 3: Cross multiply
    433.33x = 649.97 × 189.85
  4. Step 4: Simplify right side
    433.33x = 123,397.48
  5. Step 5: Solve for x
    x = 123,397.48/433.33
  6. Step 6: Final answer
    x = 284.77

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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.