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Finding the Fourth Proportional to 327.68, 451.88 and 262

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Solution

The fourth proportional to 327.68, 451.88 and 262 is: 361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 451.88 = 262 : x
  2. Step 2: Convert to fraction form
    327.68/451.88 = 262/x
  3. Step 3: Cross multiply
    327.68x = 451.88 × 262
  4. Step 4: Simplify right side
    327.68x = 118,392.56
  5. Step 5: Solve for x
    x = 118,392.56/327.68
  6. Step 6: Final answer
    x = 361.31

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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.