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Finding the Fourth Proportional to 480.13, 662.60 and 280.94

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Solution

The fourth proportional to 480.13, 662.60 and 280.94 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 662.60 = 280.94 : x
  2. Step 2: Convert to fraction form
    480.13/662.60 = 280.94/x
  3. Step 3: Cross multiply
    480.13x = 662.60 × 280.94
  4. Step 4: Simplify right side
    480.13x = 186,148.23
  5. Step 5: Solve for x
    x = 186,148.23/480.13
  6. Step 6: Final answer
    x = 387.71

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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.