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Finding the Fourth Proportional to 401.66, 553.83 and 327.75

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Solution

The fourth proportional to 401.66, 553.83 and 327.75 is: 451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.66 : 553.83 = 327.75 : x
  2. Step 2: Convert to fraction form
    401.66/553.83 = 327.75/x
  3. Step 3: Cross multiply
    401.66x = 553.83 × 327.75
  4. Step 4: Simplify right side
    401.66x = 181,517.78
  5. Step 5: Solve for x
    x = 181,517.78/401.66
  6. Step 6: Final answer
    x = 451.92

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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.