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Finding the Fourth Proportional to 399.82, 596.41 and 393.22

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Solution

The fourth proportional to 399.82, 596.41 and 393.22 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.82 : 596.41 = 393.22 : x
  2. Step 2: Convert to fraction form
    399.82/596.41 = 393.22/x
  3. Step 3: Cross multiply
    399.82x = 596.41 × 393.22
  4. Step 4: Simplify right side
    399.82x = 234,520.34
  5. Step 5: Solve for x
    x = 234,520.34/399.82
  6. Step 6: Final answer
    x = 586.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.