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Finding the Fourth Proportional to 266.10, 396.80 and 233.73

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Solution

The fourth proportional to 266.10, 396.80 and 233.73 is: 348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 396.80 = 233.73 : x
  2. Step 2: Convert to fraction form
    266.10/396.80 = 233.73/x
  3. Step 3: Cross multiply
    266.10x = 396.80 × 233.73
  4. Step 4: Simplify right side
    266.10x = 92,745.06
  5. Step 5: Solve for x
    x = 92,745.06/266.10
  6. Step 6: Final answer
    x = 348.53

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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.