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Finding the Fourth Proportional to 361.62, 498.99 and 206.37

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Solution

The fourth proportional to 361.62, 498.99 and 206.37 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 498.99 = 206.37 : x
  2. Step 2: Convert to fraction form
    361.62/498.99 = 206.37/x
  3. Step 3: Cross multiply
    361.62x = 498.99 × 206.37
  4. Step 4: Simplify right side
    361.62x = 102,976.57
  5. Step 5: Solve for x
    x = 102,976.57/361.62
  6. Step 6: Final answer
    x = 284.76

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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.