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Finding the Fourth Proportional to 327.63, 451.77 and 257.47

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Solution

The fourth proportional to 327.63, 451.77 and 257.47 is: 355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.63 : 451.77 = 257.47 : x
  2. Step 2: Convert to fraction form
    327.63/451.77 = 257.47/x
  3. Step 3: Cross multiply
    327.63x = 451.77 × 257.47
  4. Step 4: Simplify right side
    327.63x = 116,317.22
  5. Step 5: Solve for x
    x = 116,317.22/327.63
  6. Step 6: Final answer
    x = 355.03

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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.