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Finding the Fourth Proportional to 327.74, 451.23 and 261.86

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Solution

The fourth proportional to 327.74, 451.23 and 261.86 is: 360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 451.23 = 261.86 : x
  2. Step 2: Convert to fraction form
    327.74/451.23 = 261.86/x
  3. Step 3: Cross multiply
    327.74x = 451.23 × 261.86
  4. Step 4: Simplify right side
    327.74x = 118,159.09
  5. Step 5: Solve for x
    x = 118,159.09/327.74
  6. Step 6: Final answer
    x = 360.53

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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.