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Finding the Fourth Proportional to 490.98, 677.56 and 294.50

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Solution

The fourth proportional to 490.98, 677.56 and 294.50 is: 406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 677.56 = 294.50 : x
  2. Step 2: Convert to fraction form
    490.98/677.56 = 294.50/x
  3. Step 3: Cross multiply
    490.98x = 677.56 × 294.50
  4. Step 4: Simplify right side
    490.98x = 199,541.42
  5. Step 5: Solve for x
    x = 199,541.42/490.98
  6. Step 6: Final answer
    x = 406.41

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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.