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Finding the Fourth Proportional to 398.73, 598.19 and 138.73

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Solution

The fourth proportional to 398.73, 598.19 and 138.73 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 598.19 = 138.73 : x
  2. Step 2: Convert to fraction form
    398.73/598.19 = 138.73/x
  3. Step 3: Cross multiply
    398.73x = 598.19 × 138.73
  4. Step 4: Simplify right side
    398.73x = 82,986.90
  5. Step 5: Solve for x
    x = 82,986.90/398.73
  6. Step 6: Final answer
    x = 208.13

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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.