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Finding the Fourth Proportional to 276.58, 412.72 and 245.90

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Solution

The fourth proportional to 276.58, 412.72 and 245.90 is: 366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 412.72 = 245.90 : x
  2. Step 2: Convert to fraction form
    276.58/412.72 = 245.90/x
  3. Step 3: Cross multiply
    276.58x = 412.72 × 245.90
  4. Step 4: Simplify right side
    276.58x = 101,485.78
  5. Step 5: Solve for x
    x = 101,485.78/276.58
  6. Step 6: Final answer
    x = 366.94

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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.