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Finding the Fourth Proportional to 361.09, 498.33 and 201.59

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Solution

The fourth proportional to 361.09, 498.33 and 201.59 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 498.33 = 201.59 : x
  2. Step 2: Convert to fraction form
    361.09/498.33 = 201.59/x
  3. Step 3: Cross multiply
    361.09x = 498.33 × 201.59
  4. Step 4: Simplify right side
    361.09x = 100,458.34
  5. Step 5: Solve for x
    x = 100,458.34/361.09
  6. Step 6: Final answer
    x = 278.21

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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.