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Finding the Fourth Proportional to 427, 589.50 and 327.22

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Solution

The fourth proportional to 427, 589.50 and 327.22 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427 : 589.50 = 327.22 : x
  2. Step 2: Convert to fraction form
    427/589.50 = 327.22/x
  3. Step 3: Cross multiply
    427x = 589.50 × 327.22
  4. Step 4: Simplify right side
    427x = 192,896.19
  5. Step 5: Solve for x
    x = 192,896.19/427
  6. Step 6: Final answer
    x = 451.75

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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.