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Finding the Fourth Proportional to 276.46, 412.03 and 274.20

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Solution

The fourth proportional to 276.46, 412.03 and 274.20 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 412.03 = 274.20 : x
  2. Step 2: Convert to fraction form
    276.46/412.03 = 274.20/x
  3. Step 3: Cross multiply
    276.46x = 412.03 × 274.20
  4. Step 4: Simplify right side
    276.46x = 112,978.63
  5. Step 5: Solve for x
    x = 112,978.63/276.46
  6. Step 6: Final answer
    x = 408.66

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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.