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Finding the Fourth Proportional to 382.04, 575.36 and 321.56

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Solution

The fourth proportional to 382.04, 575.36 and 321.56 is: 484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 575.36 = 321.56 : x
  2. Step 2: Convert to fraction form
    382.04/575.36 = 321.56/x
  3. Step 3: Cross multiply
    382.04x = 575.36 × 321.56
  4. Step 4: Simplify right side
    382.04x = 185,012.76
  5. Step 5: Solve for x
    x = 185,012.76/382.04
  6. Step 6: Final answer
    x = 484.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.