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Finding the Fourth Proportional to 361.59, 494.82 and 354.03

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Solution

The fourth proportional to 361.59, 494.82 and 354.03 is: 484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.59 : 494.82 = 354.03 : x
  2. Step 2: Convert to fraction form
    361.59/494.82 = 354.03/x
  3. Step 3: Cross multiply
    361.59x = 494.82 × 354.03
  4. Step 4: Simplify right side
    361.59x = 175,181.12
  5. Step 5: Solve for x
    x = 175,181.12/361.59
  6. Step 6: Final answer
    x = 484.47

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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.