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Finding the Fourth Proportional to 812.31, 1,218.32 and 264.41

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Solution

The fourth proportional to 812.31, 1,218.32 and 264.41 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.31 : 1,218.32 = 264.41 : x
  2. Step 2: Convert to fraction form
    812.31/1,218.32 = 264.41/x
  3. Step 3: Cross multiply
    812.31x = 1,218.32 × 264.41
  4. Step 4: Simplify right side
    812.31x = 322,128.58
  5. Step 5: Solve for x
    x = 322,128.58/812.31
  6. Step 6: Final answer
    x = 396.56

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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.