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Finding the Fourth Proportional to 481.76, 665.11 and 371.02

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Solution

The fourth proportional to 481.76, 665.11 and 371.02 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 665.11 = 371.02 : x
  2. Step 2: Convert to fraction form
    481.76/665.11 = 371.02/x
  3. Step 3: Cross multiply
    481.76x = 665.11 × 371.02
  4. Step 4: Simplify right side
    481.76x = 246,769.11
  5. Step 5: Solve for x
    x = 246,769.11/481.76
  6. Step 6: Final answer
    x = 512.22

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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.