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Finding the Fourth Proportional to 398.89, 598.59 and 204.09

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Solution

The fourth proportional to 398.89, 598.59 and 204.09 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.89 : 598.59 = 204.09 : x
  2. Step 2: Convert to fraction form
    398.89/598.59 = 204.09/x
  3. Step 3: Cross multiply
    398.89x = 598.59 × 204.09
  4. Step 4: Simplify right side
    398.89x = 122,166.23
  5. Step 5: Solve for x
    x = 122,166.23/398.89
  6. Step 6: Final answer
    x = 306.27

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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.