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Finding the Fourth Proportional to 480.11, 662.33 and 280.95

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Solution

The fourth proportional to 480.11, 662.33 and 280.95 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.11 : 662.33 = 280.95 : x
  2. Step 2: Convert to fraction form
    480.11/662.33 = 280.95/x
  3. Step 3: Cross multiply
    480.11x = 662.33 × 280.95
  4. Step 4: Simplify right side
    480.11x = 186,080.21
  5. Step 5: Solve for x
    x = 186,080.21/480.11
  6. Step 6: Final answer
    x = 387.58

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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.