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Finding the Fourth Proportional to 490.16, 676.48 and 280.36

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Solution

The fourth proportional to 490.16, 676.48 and 280.36 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 676.48 = 280.36 : x
  2. Step 2: Convert to fraction form
    490.16/676.48 = 280.36/x
  3. Step 3: Cross multiply
    490.16x = 676.48 × 280.36
  4. Step 4: Simplify right side
    490.16x = 189,654.64
  5. Step 5: Solve for x
    x = 189,654.64/490.16
  6. Step 6: Final answer
    x = 386.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.