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Finding the Fourth Proportional to 481.64, 664.77 and 282.56

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Solution

The fourth proportional to 481.64, 664.77 and 282.56 is: 390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.64 : 664.77 = 282.56 : x
  2. Step 2: Convert to fraction form
    481.64/664.77 = 282.56/x
  3. Step 3: Cross multiply
    481.64x = 664.77 × 282.56
  4. Step 4: Simplify right side
    481.64x = 187,837.41
  5. Step 5: Solve for x
    x = 187,837.41/481.64
  6. Step 6: Final answer
    x = 390.00

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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.