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Finding the Fourth Proportional to 490.28, 677.40 and 396.14

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Solution

The fourth proportional to 490.28, 677.40 and 396.14 is: 547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 677.40 = 396.14 : x
  2. Step 2: Convert to fraction form
    490.28/677.40 = 396.14/x
  3. Step 3: Cross multiply
    490.28x = 677.40 × 396.14
  4. Step 4: Simplify right side
    490.28x = 268,345.24
  5. Step 5: Solve for x
    x = 268,345.24/490.28
  6. Step 6: Final answer
    x = 547.33

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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.