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Finding the Fourth Proportional to 266.41, 396.88 and 256.61

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Solution

The fourth proportional to 266.41, 396.88 and 256.61 is: 382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.41 : 396.88 = 256.61 : x
  2. Step 2: Convert to fraction form
    266.41/396.88 = 256.61/x
  3. Step 3: Cross multiply
    266.41x = 396.88 × 256.61
  4. Step 4: Simplify right side
    266.41x = 101,843.73
  5. Step 5: Solve for x
    x = 101,843.73/266.41
  6. Step 6: Final answer
    x = 382.29

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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.