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Finding the Fourth Proportional to 299.81, 412.85 and 278.03

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Solution

The fourth proportional to 299.81, 412.85 and 278.03 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.81 : 412.85 = 278.03 : x
  2. Step 2: Convert to fraction form
    299.81/412.85 = 278.03/x
  3. Step 3: Cross multiply
    299.81x = 412.85 × 278.03
  4. Step 4: Simplify right side
    299.81x = 114,783.30
  5. Step 5: Solve for x
    x = 114,783.30/299.81
  6. Step 6: Final answer
    x = 382.85

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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.