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Finding the Fourth Proportional to 605.38, 908.28 and 280.50

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Solution

The fourth proportional to 605.38, 908.28 and 280.50 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 908.28 = 280.50 : x
  2. Step 2: Convert to fraction form
    605.38/908.28 = 280.50/x
  3. Step 3: Cross multiply
    605.38x = 908.28 × 280.50
  4. Step 4: Simplify right side
    605.38x = 254,772.54
  5. Step 5: Solve for x
    x = 254,772.54/605.38
  6. Step 6: Final answer
    x = 420.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.