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Finding the Fourth Proportional to 433.39, 650.10 and 108.76

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Solution

The fourth proportional to 433.39, 650.10 and 108.76 is: 163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 650.10 = 108.76 : x
  2. Step 2: Convert to fraction form
    433.39/650.10 = 108.76/x
  3. Step 3: Cross multiply
    433.39x = 650.10 × 108.76
  4. Step 4: Simplify right side
    433.39x = 70,704.88
  5. Step 5: Solve for x
    x = 70,704.88/433.39
  6. Step 6: Final answer
    x = 163.14

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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.