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Finding the Fourth Proportional to 266.20, 400.20 and 226.60

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Solution

The fourth proportional to 266.20, 400.20 and 226.60 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 400.20 = 226.60 : x
  2. Step 2: Convert to fraction form
    266.20/400.20 = 226.60/x
  3. Step 3: Cross multiply
    266.20x = 400.20 × 226.60
  4. Step 4: Simplify right side
    266.20x = 90,685.32
  5. Step 5: Solve for x
    x = 90,685.32/266.20
  6. Step 6: Final answer
    x = 340.67

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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.