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Finding the Fourth Proportional to 821.04, 1,232.16 and 301.36

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Solution

The fourth proportional to 821.04, 1,232.16 and 301.36 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,232.16 = 301.36 : x
  2. Step 2: Convert to fraction form
    821.04/1,232.16 = 301.36/x
  3. Step 3: Cross multiply
    821.04x = 1,232.16 × 301.36
  4. Step 4: Simplify right side
    821.04x = 371,321.80
  5. Step 5: Solve for x
    x = 371,321.80/821.04
  6. Step 6: Final answer
    x = 452.26

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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.