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Finding the Fourth Proportional to 433.46, 650.12 and 140.96

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Solution

The fourth proportional to 433.46, 650.12 and 140.96 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.46 : 650.12 = 140.96 : x
  2. Step 2: Convert to fraction form
    433.46/650.12 = 140.96/x
  3. Step 3: Cross multiply
    433.46x = 650.12 × 140.96
  4. Step 4: Simplify right side
    433.46x = 91,638.02
  5. Step 5: Solve for x
    x = 91,638.02/433.46
  6. Step 6: Final answer
    x = 211.41

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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.