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Finding the Fourth Proportional to 398.12, 597.45 and 205.88

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Solution

The fourth proportional to 398.12, 597.45 and 205.88 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.12 : 597.45 = 205.88 : x
  2. Step 2: Convert to fraction form
    398.12/597.45 = 205.88/x
  3. Step 3: Cross multiply
    398.12x = 597.45 × 205.88
  4. Step 4: Simplify right side
    398.12x = 123,003.01
  5. Step 5: Solve for x
    x = 123,003.01/398.12
  6. Step 6: Final answer
    x = 308.96

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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.