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Finding the Fourth Proportional to 401.64, 605.22 and 331.08

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Solution

The fourth proportional to 401.64, 605.22 and 331.08 is: 498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 605.22 = 331.08 : x
  2. Step 2: Convert to fraction form
    401.64/605.22 = 331.08/x
  3. Step 3: Cross multiply
    401.64x = 605.22 × 331.08
  4. Step 4: Simplify right side
    401.64x = 200,376.24
  5. Step 5: Solve for x
    x = 200,376.24/401.64
  6. Step 6: Final answer
    x = 498.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.