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Finding the Fourth Proportional to 327.68, 492.20 and 276.42

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Solution

The fourth proportional to 327.68, 492.20 and 276.42 is: 415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 492.20 = 276.42 : x
  2. Step 2: Convert to fraction form
    327.68/492.20 = 276.42/x
  3. Step 3: Cross multiply
    327.68x = 492.20 × 276.42
  4. Step 4: Simplify right side
    327.68x = 136,054.82
  5. Step 5: Solve for x
    x = 136,054.82/327.68
  6. Step 6: Final answer
    x = 415.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.