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Finding the Fourth Proportional to 490.60, 677.02 and 266.53

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Solution

The fourth proportional to 490.60, 677.02 and 266.53 is: 367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 677.02 = 266.53 : x
  2. Step 2: Convert to fraction form
    490.60/677.02 = 266.53/x
  3. Step 3: Cross multiply
    490.60x = 677.02 × 266.53
  4. Step 4: Simplify right side
    490.60x = 180,443.78
  5. Step 5: Solve for x
    x = 180,443.78/490.60
  6. Step 6: Final answer
    x = 367.80

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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.