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Finding the Fourth Proportional to 398.96, 548.25 and 328.89

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Solution

The fourth proportional to 398.96, 548.25 and 328.89 is: 451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.96 : 548.25 = 328.89 : x
  2. Step 2: Convert to fraction form
    398.96/548.25 = 328.89/x
  3. Step 3: Cross multiply
    398.96x = 548.25 × 328.89
  4. Step 4: Simplify right side
    398.96x = 180,313.94
  5. Step 5: Solve for x
    x = 180,313.94/398.96
  6. Step 6: Final answer
    x = 451.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.