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Finding the Fourth Proportional to 397.09, 548.13 and 298.68

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Solution

The fourth proportional to 397.09, 548.13 and 298.68 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 548.13 = 298.68 : x
  2. Step 2: Convert to fraction form
    397.09/548.13 = 298.68/x
  3. Step 3: Cross multiply
    397.09x = 548.13 × 298.68
  4. Step 4: Simplify right side
    397.09x = 163,712.73
  5. Step 5: Solve for x
    x = 163,712.73/397.09
  6. Step 6: Final answer
    x = 412.28

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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.