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Finding the Fourth Proportional to 433.53, 650.03 and 169.67

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Solution

The fourth proportional to 433.53, 650.03 and 169.67 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 650.03 = 169.67 : x
  2. Step 2: Convert to fraction form
    433.53/650.03 = 169.67/x
  3. Step 3: Cross multiply
    433.53x = 650.03 × 169.67
  4. Step 4: Simplify right side
    433.53x = 110,288.98
  5. Step 5: Solve for x
    x = 110,288.98/433.53
  6. Step 6: Final answer
    x = 254.40

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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.