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Finding the Fourth Proportional to 480.80, 663.49 and 270.99

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Solution

The fourth proportional to 480.80, 663.49 and 270.99 is: 373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.80 : 663.49 = 270.99 : x
  2. Step 2: Convert to fraction form
    480.80/663.49 = 270.99/x
  3. Step 3: Cross multiply
    480.80x = 663.49 × 270.99
  4. Step 4: Simplify right side
    480.80x = 179,797.80
  5. Step 5: Solve for x
    x = 179,797.80/480.80
  6. Step 6: Final answer
    x = 373.96

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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.