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Finding the Fourth Proportional to 626.78, 940.49 and 256.85

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Solution

The fourth proportional to 626.78, 940.49 and 256.85 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.78 : 940.49 = 256.85 : x
  2. Step 2: Convert to fraction form
    626.78/940.49 = 256.85/x
  3. Step 3: Cross multiply
    626.78x = 940.49 × 256.85
  4. Step 4: Simplify right side
    626.78x = 241,565.28
  5. Step 5: Solve for x
    x = 241,565.28/626.78
  6. Step 6: Final answer
    x = 385.41

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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.