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Finding the Fourth Proportional to 399.42, 600.57 and 327.42

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Solution

The fourth proportional to 399.42, 600.57 and 327.42 is: 492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.42 : 600.57 = 327.42 : x
  2. Step 2: Convert to fraction form
    399.42/600.57 = 327.42/x
  3. Step 3: Cross multiply
    399.42x = 600.57 × 327.42
  4. Step 4: Simplify right side
    399.42x = 196,638.63
  5. Step 5: Solve for x
    x = 196,638.63/399.42
  6. Step 6: Final answer
    x = 492.31

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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.