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Finding the Fourth Proportional to 398.67, 550.19 and 230.64

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Solution

The fourth proportional to 398.67, 550.19 and 230.64 is: 318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 550.19 = 230.64 : x
  2. Step 2: Convert to fraction form
    398.67/550.19 = 230.64/x
  3. Step 3: Cross multiply
    398.67x = 550.19 × 230.64
  4. Step 4: Simplify right side
    398.67x = 126,894.67
  5. Step 5: Solve for x
    x = 126,894.67/398.67
  6. Step 6: Final answer
    x = 318.30

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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.