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Finding the Fourth Proportional to 361.80, 496.80 and 345.60

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Solution

The fourth proportional to 361.80, 496.80 and 345.60 is: 474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 496.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    361.80/496.80 = 345.60/x
  3. Step 3: Cross multiply
    361.80x = 496.80 × 345.60
  4. Step 4: Simplify right side
    361.80x = 171,694.08
  5. Step 5: Solve for x
    x = 171,694.08/361.80
  6. Step 6: Final answer
    x = 474.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.