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Finding the Fourth Proportional to 299.56, 412.50 and 277.78

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Solution

The fourth proportional to 299.56, 412.50 and 277.78 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 412.50 = 277.78 : x
  2. Step 2: Convert to fraction form
    299.56/412.50 = 277.78/x
  3. Step 3: Cross multiply
    299.56x = 412.50 × 277.78
  4. Step 4: Simplify right side
    299.56x = 114,584.25
  5. Step 5: Solve for x
    x = 114,584.25/299.56
  6. Step 6: Final answer
    x = 382.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.