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Finding the Fourth Proportional to 480.49, 663.05 and 267.80

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Solution

The fourth proportional to 480.49, 663.05 and 267.80 is: 369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.49 : 663.05 = 267.80 : x
  2. Step 2: Convert to fraction form
    480.49/663.05 = 267.80/x
  3. Step 3: Cross multiply
    480.49x = 663.05 × 267.80
  4. Step 4: Simplify right side
    480.49x = 177,567.12
  5. Step 5: Solve for x
    x = 177,567.12/480.49
  6. Step 6: Final answer
    x = 369.56

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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.