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Finding the Fourth Proportional to 382.42, 573.36 and 163.05

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Solution

The fourth proportional to 382.42, 573.36 and 163.05 is: 244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 573.36 = 163.05 : x
  2. Step 2: Convert to fraction form
    382.42/573.36 = 163.05/x
  3. Step 3: Cross multiply
    382.42x = 573.36 × 163.05
  4. Step 4: Simplify right side
    382.42x = 93,486.35
  5. Step 5: Solve for x
    x = 93,486.35/382.42
  6. Step 6: Final answer
    x = 244.46

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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.