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Finding the Fourth Proportional to 276.56, 384.30 and 273.56

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Solution

The fourth proportional to 276.56, 384.30 and 273.56 is: 380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 384.30 = 273.56 : x
  2. Step 2: Convert to fraction form
    276.56/384.30 = 273.56/x
  3. Step 3: Cross multiply
    276.56x = 384.30 × 273.56
  4. Step 4: Simplify right side
    276.56x = 105,129.11
  5. Step 5: Solve for x
    x = 105,129.11/276.56
  6. Step 6: Final answer
    x = 380.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.