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Finding the Fourth Proportional to 276.94, 412.84 and 238.60

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Solution

The fourth proportional to 276.94, 412.84 and 238.60 is: 355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 412.84 = 238.60 : x
  2. Step 2: Convert to fraction form
    276.94/412.84 = 238.60/x
  3. Step 3: Cross multiply
    276.94x = 412.84 × 238.60
  4. Step 4: Simplify right side
    276.94x = 98,503.62
  5. Step 5: Solve for x
    x = 98,503.62/276.94
  6. Step 6: Final answer
    x = 355.69

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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.