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Finding the Fourth Proportional to 433.47, 649.83 and 189.81

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Solution

The fourth proportional to 433.47, 649.83 and 189.81 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.47 : 649.83 = 189.81 : x
  2. Step 2: Convert to fraction form
    433.47/649.83 = 189.81/x
  3. Step 3: Cross multiply
    433.47x = 649.83 × 189.81
  4. Step 4: Simplify right side
    433.47x = 123,344.23
  5. Step 5: Solve for x
    x = 123,344.23/433.47
  6. Step 6: Final answer
    x = 284.55

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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.