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Finding the Fourth Proportional to 433.81, 650.87 and 190.51

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Solution

The fourth proportional to 433.81, 650.87 and 190.51 is: 285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.81 : 650.87 = 190.51 : x
  2. Step 2: Convert to fraction form
    433.81/650.87 = 190.51/x
  3. Step 3: Cross multiply
    433.81x = 650.87 × 190.51
  4. Step 4: Simplify right side
    433.81x = 123,997.24
  5. Step 5: Solve for x
    x = 123,997.24/433.81
  6. Step 6: Final answer
    x = 285.83

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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.