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Finding the Fourth Proportional to 266.22, 396.36 and 262.98

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Solution

The fourth proportional to 266.22, 396.36 and 262.98 is: 391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 396.36 = 262.98 : x
  2. Step 2: Convert to fraction form
    266.22/396.36 = 262.98/x
  3. Step 3: Cross multiply
    266.22x = 396.36 × 262.98
  4. Step 4: Simplify right side
    266.22x = 104,234.75
  5. Step 5: Solve for x
    x = 104,234.75/266.22
  6. Step 6: Final answer
    x = 391.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.