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Finding the Fourth Proportional to 398.09, 596.99 and 138.03

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Solution

The fourth proportional to 398.09, 596.99 and 138.03 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.09 : 596.99 = 138.03 : x
  2. Step 2: Convert to fraction form
    398.09/596.99 = 138.03/x
  3. Step 3: Cross multiply
    398.09x = 596.99 × 138.03
  4. Step 4: Simplify right side
    398.09x = 82,402.87
  5. Step 5: Solve for x
    x = 82,402.87/398.09
  6. Step 6: Final answer
    x = 206.99

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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.