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Finding the Fourth Proportional to 361.67, 496.94 and 345.57

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Solution

The fourth proportional to 361.67, 496.94 and 345.57 is: 474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 496.94 = 345.57 : x
  2. Step 2: Convert to fraction form
    361.67/496.94 = 345.57/x
  3. Step 3: Cross multiply
    361.67x = 496.94 × 345.57
  4. Step 4: Simplify right side
    361.67x = 171,723.96
  5. Step 5: Solve for x
    x = 171,723.96/361.67
  6. Step 6: Final answer
    x = 474.81

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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.