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Finding the Fourth Proportional to 408.94, 613.50 and 120.40

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Solution

The fourth proportional to 408.94, 613.50 and 120.40 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 613.50 = 120.40 : x
  2. Step 2: Convert to fraction form
    408.94/613.50 = 120.40/x
  3. Step 3: Cross multiply
    408.94x = 613.50 × 120.40
  4. Step 4: Simplify right side
    408.94x = 73,865.40
  5. Step 5: Solve for x
    x = 73,865.40/408.94
  6. Step 6: Final answer
    x = 180.63

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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.