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Finding the Fourth Proportional to 480.09, 662.49 and 270.20

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Solution

The fourth proportional to 480.09, 662.49 and 270.20 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.09 : 662.49 = 270.20 : x
  2. Step 2: Convert to fraction form
    480.09/662.49 = 270.20/x
  3. Step 3: Cross multiply
    480.09x = 662.49 × 270.20
  4. Step 4: Simplify right side
    480.09x = 179,006.45
  5. Step 5: Solve for x
    x = 179,006.45/480.09
  6. Step 6: Final answer
    x = 372.86

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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.