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Finding the Fourth Proportional to 398.03, 548.01 and 338.90

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Solution

The fourth proportional to 398.03, 548.01 and 338.90 is: 466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.03 : 548.01 = 338.90 : x
  2. Step 2: Convert to fraction form
    398.03/548.01 = 338.90/x
  3. Step 3: Cross multiply
    398.03x = 548.01 × 338.90
  4. Step 4: Simplify right side
    398.03x = 185,717.85
  5. Step 5: Solve for x
    x = 185,717.85/398.03
  6. Step 6: Final answer
    x = 466.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.