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Finding the Fourth Proportional to 401.04, 553.34 and 232.96

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Solution

The fourth proportional to 401.04, 553.34 and 232.96 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 553.34 = 232.96 : x
  2. Step 2: Convert to fraction form
    401.04/553.34 = 232.96/x
  3. Step 3: Cross multiply
    401.04x = 553.34 × 232.96
  4. Step 4: Simplify right side
    401.04x = 128,906.09
  5. Step 5: Solve for x
    x = 128,906.09/401.04
  6. Step 6: Final answer
    x = 321.43

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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.