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Finding the Fourth Proportional to 433.78, 650.66 and 109.14

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Solution

The fourth proportional to 433.78, 650.66 and 109.14 is: 163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.78 : 650.66 = 109.14 : x
  2. Step 2: Convert to fraction form
    433.78/650.66 = 109.14/x
  3. Step 3: Cross multiply
    433.78x = 650.66 × 109.14
  4. Step 4: Simplify right side
    433.78x = 71,012.49
  5. Step 5: Solve for x
    x = 71,012.49/433.78
  6. Step 6: Final answer
    x = 163.71

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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.