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Finding the Fourth Proportional to 409.20, 564.48 and 331.44

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Solution

The fourth proportional to 409.20, 564.48 and 331.44 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.20 : 564.48 = 331.44 : x
  2. Step 2: Convert to fraction form
    409.20/564.48 = 331.44/x
  3. Step 3: Cross multiply
    409.20x = 564.48 × 331.44
  4. Step 4: Simplify right side
    409.20x = 187,091.25
  5. Step 5: Solve for x
    x = 187,091.25/409.20
  6. Step 6: Final answer
    x = 457.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.