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Finding the Fourth Proportional to 409, 613.52 and 120.44

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Solution

The fourth proportional to 409, 613.52 and 120.44 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 613.52 = 120.44 : x
  2. Step 2: Convert to fraction form
    409/613.52 = 120.44/x
  3. Step 3: Cross multiply
    409x = 613.52 × 120.44
  4. Step 4: Simplify right side
    409x = 73,892.35
  5. Step 5: Solve for x
    x = 73,892.35/409
  6. Step 6: Final answer
    x = 180.67

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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.