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Finding the Fourth Proportional to 605.38, 908.64 and 280.96

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Solution

The fourth proportional to 605.38, 908.64 and 280.96 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 908.64 = 280.96 : x
  2. Step 2: Convert to fraction form
    605.38/908.64 = 280.96/x
  3. Step 3: Cross multiply
    605.38x = 908.64 × 280.96
  4. Step 4: Simplify right side
    605.38x = 255,291.49
  5. Step 5: Solve for x
    x = 255,291.49/605.38
  6. Step 6: Final answer
    x = 421.70

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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.