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Finding the Fourth Proportional to 401.64, 605.20 and 331.08

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Solution

The fourth proportional to 401.64, 605.20 and 331.08 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 605.20 = 331.08 : x
  2. Step 2: Convert to fraction form
    401.64/605.20 = 331.08/x
  3. Step 3: Cross multiply
    401.64x = 605.20 × 331.08
  4. Step 4: Simplify right side
    401.64x = 200,369.62
  5. Step 5: Solve for x
    x = 200,369.62/401.64
  6. Step 6: Final answer
    x = 498.88

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Why These Related Problems?

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