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Finding the Fourth Proportional to 828.20, 1,242.16 and 272.91

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Solution

The fourth proportional to 828.20, 1,242.16 and 272.91 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.20 : 1,242.16 = 272.91 : x
  2. Step 2: Convert to fraction form
    828.20/1,242.16 = 272.91/x
  3. Step 3: Cross multiply
    828.20x = 1,242.16 × 272.91
  4. Step 4: Simplify right side
    828.20x = 338,996.41
  5. Step 5: Solve for x
    x = 338,996.41/828.20
  6. Step 6: Final answer
    x = 409.32

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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.