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Finding the Fourth Proportional to 450.28, 675.72 and 206.80

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Solution

The fourth proportional to 450.28, 675.72 and 206.80 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.28 : 675.72 = 206.80 : x
  2. Step 2: Convert to fraction form
    450.28/675.72 = 206.80/x
  3. Step 3: Cross multiply
    450.28x = 675.72 × 206.80
  4. Step 4: Simplify right side
    450.28x = 139,738.90
  5. Step 5: Solve for x
    x = 139,738.90/450.28
  6. Step 6: Final answer
    x = 310.34

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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.