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Finding the Fourth Proportional to 327.99, 491.54 and 246.75

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Solution

The fourth proportional to 327.99, 491.54 and 246.75 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.99 : 491.54 = 246.75 : x
  2. Step 2: Convert to fraction form
    327.99/491.54 = 246.75/x
  3. Step 3: Cross multiply
    327.99x = 491.54 × 246.75
  4. Step 4: Simplify right side
    327.99x = 121,284.42
  5. Step 5: Solve for x
    x = 121,284.42/327.99
  6. Step 6: Final answer
    x = 369.78

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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.