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Finding the Fourth Proportional to 824.21, 1,236.38 and 276.40

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Solution

The fourth proportional to 824.21, 1,236.38 and 276.40 is: 414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,236.38 = 276.40 : x
  2. Step 2: Convert to fraction form
    824.21/1,236.38 = 276.40/x
  3. Step 3: Cross multiply
    824.21x = 1,236.38 × 276.40
  4. Step 4: Simplify right side
    824.21x = 341,733.03
  5. Step 5: Solve for x
    x = 341,733.03/824.21
  6. Step 6: Final answer
    x = 414.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.