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Finding the Fourth Proportional to 828.31, 1,242.12 and 308.23

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Solution

The fourth proportional to 828.31, 1,242.12 and 308.23 is: 462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.31 : 1,242.12 = 308.23 : x
  2. Step 2: Convert to fraction form
    828.31/1,242.12 = 308.23/x
  3. Step 3: Cross multiply
    828.31x = 1,242.12 × 308.23
  4. Step 4: Simplify right side
    828.31x = 382,858.65
  5. Step 5: Solve for x
    x = 382,858.65/828.31
  6. Step 6: Final answer
    x = 462.22

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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.