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Finding the Fourth Proportional to 398.22, 596.30 and 236.02

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Solution

The fourth proportional to 398.22, 596.30 and 236.02 is: 353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.22 : 596.30 = 236.02 : x
  2. Step 2: Convert to fraction form
    398.22/596.30 = 236.02/x
  3. Step 3: Cross multiply
    398.22x = 596.30 × 236.02
  4. Step 4: Simplify right side
    398.22x = 140,738.73
  5. Step 5: Solve for x
    x = 140,738.73/398.22
  6. Step 6: Final answer
    x = 353.42

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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.