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Finding the Fourth Proportional to 433.51, 649.90 and 189.85

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Solution

The fourth proportional to 433.51, 649.90 and 189.85 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.51 : 649.90 = 189.85 : x
  2. Step 2: Convert to fraction form
    433.51/649.90 = 189.85/x
  3. Step 3: Cross multiply
    433.51x = 649.90 × 189.85
  4. Step 4: Simplify right side
    433.51x = 123,383.52
  5. Step 5: Solve for x
    x = 123,383.52/433.51
  6. Step 6: Final answer
    x = 284.62

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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.