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Finding the Fourth Proportional to 276.60, 412.26 and 247.74

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Solution

The fourth proportional to 276.60, 412.26 and 247.74 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 412.26 = 247.74 : x
  2. Step 2: Convert to fraction form
    276.60/412.26 = 247.74/x
  3. Step 3: Cross multiply
    276.60x = 412.26 × 247.74
  4. Step 4: Simplify right side
    276.60x = 102,133.29
  5. Step 5: Solve for x
    x = 102,133.29/276.60
  6. Step 6: Final answer
    x = 369.25

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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.