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Finding the Fourth Proportional to 382.47, 573.36 and 138.94

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Solution

The fourth proportional to 382.47, 573.36 and 138.94 is: 208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.47 : 573.36 = 138.94 : x
  2. Step 2: Convert to fraction form
    382.47/573.36 = 138.94/x
  3. Step 3: Cross multiply
    382.47x = 573.36 × 138.94
  4. Step 4: Simplify right side
    382.47x = 79,662.64
  5. Step 5: Solve for x
    x = 79,662.64/382.47
  6. Step 6: Final answer
    x = 208.28

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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.