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Finding the Fourth Proportional to 361.75, 499.31 and 206.59

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Solution

The fourth proportional to 361.75, 499.31 and 206.59 is: 285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.75 : 499.31 = 206.59 : x
  2. Step 2: Convert to fraction form
    361.75/499.31 = 206.59/x
  3. Step 3: Cross multiply
    361.75x = 499.31 × 206.59
  4. Step 4: Simplify right side
    361.75x = 103,152.45
  5. Step 5: Solve for x
    x = 103,152.45/361.75
  6. Step 6: Final answer
    x = 285.15

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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.