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Finding the Fourth Proportional to 276.60, 422.19 and 276.60

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Solution

The fourth proportional to 276.60, 422.19 and 276.60 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.60 : 422.19 = 276.60 : x
  2. Step 2: Convert to fraction form
    276.60/422.19 = 276.60/x
  3. Step 3: Cross multiply
    276.60x = 422.19 × 276.60
  4. Step 4: Simplify right side
    276.60x = 116,777.75
  5. Step 5: Solve for x
    x = 116,777.75/276.60
  6. Step 6: Final answer
    x = 422.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.