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Finding the Fourth Proportional to 361.28, 540.48 and 328.88

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Solution

The fourth proportional to 361.28, 540.48 and 328.88 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 540.48 = 328.88 : x
  2. Step 2: Convert to fraction form
    361.28/540.48 = 328.88/x
  3. Step 3: Cross multiply
    361.28x = 540.48 × 328.88
  4. Step 4: Simplify right side
    361.28x = 177,753.06
  5. Step 5: Solve for x
    x = 177,753.06/361.28
  6. Step 6: Final answer
    x = 492.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.