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Finding the Fourth Proportional to 382.04, 575.28 and 324.46

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Solution

The fourth proportional to 382.04, 575.28 and 324.46 is: 488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 575.28 = 324.46 : x
  2. Step 2: Convert to fraction form
    382.04/575.28 = 324.46/x
  3. Step 3: Cross multiply
    382.04x = 575.28 × 324.46
  4. Step 4: Simplify right side
    382.04x = 186,655.35
  5. Step 5: Solve for x
    x = 186,655.35/382.04
  6. Step 6: Final answer
    x = 488.58

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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.