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Finding the Fourth Proportional to 660.20, 911.04 and 361.44

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Solution

The fourth proportional to 660.20, 911.04 and 361.44 is: 498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.20 : 911.04 = 361.44 : x
  2. Step 2: Convert to fraction form
    660.20/911.04 = 361.44/x
  3. Step 3: Cross multiply
    660.20x = 911.04 × 361.44
  4. Step 4: Simplify right side
    660.20x = 329,286.30
  5. Step 5: Solve for x
    x = 329,286.30/660.20
  6. Step 6: Final answer
    x = 498.77

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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.