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Finding the Fourth Proportional to 276.85, 412.83 and 274.38

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Solution

The fourth proportional to 276.85, 412.83 and 274.38 is: 409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.85 : 412.83 = 274.38 : x
  2. Step 2: Convert to fraction form
    276.85/412.83 = 274.38/x
  3. Step 3: Cross multiply
    276.85x = 412.83 × 274.38
  4. Step 4: Simplify right side
    276.85x = 113,270.23
  5. Step 5: Solve for x
    x = 113,270.23/276.85
  6. Step 6: Final answer
    x = 409.14

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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.