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Finding the Fourth Proportional to 480.38, 662.49 and 303.12

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Solution

The fourth proportional to 480.38, 662.49 and 303.12 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.38 : 662.49 = 303.12 : x
  2. Step 2: Convert to fraction form
    480.38/662.49 = 303.12/x
  3. Step 3: Cross multiply
    480.38x = 662.49 × 303.12
  4. Step 4: Simplify right side
    480.38x = 200,813.97
  5. Step 5: Solve for x
    x = 200,813.97/480.38
  6. Step 6: Final answer
    x = 418.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.