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Finding the Fourth Proportional to 266.78, 397.44 and 256.98

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Solution

The fourth proportional to 266.78, 397.44 and 256.98 is: 382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 397.44 = 256.98 : x
  2. Step 2: Convert to fraction form
    266.78/397.44 = 256.98/x
  3. Step 3: Cross multiply
    266.78x = 397.44 × 256.98
  4. Step 4: Simplify right side
    266.78x = 102,135.62
  5. Step 5: Solve for x
    x = 102,135.62/266.78
  6. Step 6: Final answer
    x = 382.84

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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.