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Finding the Fourth Proportional to 828.09, 1,242.27 and 308.21

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Solution

The fourth proportional to 828.09, 1,242.27 and 308.21 is: 462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.09 : 1,242.27 = 308.21 : x
  2. Step 2: Convert to fraction form
    828.09/1,242.27 = 308.21/x
  3. Step 3: Cross multiply
    828.09x = 1,242.27 × 308.21
  4. Step 4: Simplify right side
    828.09x = 382,873.83
  5. Step 5: Solve for x
    x = 382,873.83/828.09
  6. Step 6: Final answer
    x = 462.36

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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.