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Finding the Fourth Proportional to 276.57, 412.79 and 245.79

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Solution

The fourth proportional to 276.57, 412.79 and 245.79 is: 366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.57 : 412.79 = 245.79 : x
  2. Step 2: Convert to fraction form
    276.57/412.79 = 245.79/x
  3. Step 3: Cross multiply
    276.57x = 412.79 × 245.79
  4. Step 4: Simplify right side
    276.57x = 101,458.43
  5. Step 5: Solve for x
    x = 101,458.43/276.57
  6. Step 6: Final answer
    x = 366.85

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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.