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Finding the Fourth Proportional to 433.48, 649.85 and 189.82

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Solution

The fourth proportional to 433.48, 649.85 and 189.82 is: 284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 649.85 = 189.82 : x
  2. Step 2: Convert to fraction form
    433.48/649.85 = 189.82/x
  3. Step 3: Cross multiply
    433.48x = 649.85 × 189.82
  4. Step 4: Simplify right side
    433.48x = 123,354.53
  5. Step 5: Solve for x
    x = 123,354.53/433.48
  6. Step 6: Final answer
    x = 284.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.