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Finding the Fourth Proportional to 276.33, 380.95 and 197.63

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Solution

The fourth proportional to 276.33, 380.95 and 197.63 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 380.95 = 197.63 : x
  2. Step 2: Convert to fraction form
    276.33/380.95 = 197.63/x
  3. Step 3: Cross multiply
    276.33x = 380.95 × 197.63
  4. Step 4: Simplify right side
    276.33x = 75,287.15
  5. Step 5: Solve for x
    x = 75,287.15/276.33
  6. Step 6: Final answer
    x = 272.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.