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Finding the Fourth Proportional to 481.72, 664.84 and 271.98

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Solution

The fourth proportional to 481.72, 664.84 and 271.98 is: 375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 664.84 = 271.98 : x
  2. Step 2: Convert to fraction form
    481.72/664.84 = 271.98/x
  3. Step 3: Cross multiply
    481.72x = 664.84 × 271.98
  4. Step 4: Simplify right side
    481.72x = 180,823.18
  5. Step 5: Solve for x
    x = 180,823.18/481.72
  6. Step 6: Final answer
    x = 375.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.