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Finding the Fourth Proportional to 361.00, 494.93 and 354.43

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Solution

The fourth proportional to 361.00, 494.93 and 354.43 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.00 : 494.93 = 354.43 : x
  2. Step 2: Convert to fraction form
    361.00/494.93 = 354.43/x
  3. Step 3: Cross multiply
    361.00x = 494.93 × 354.43
  4. Step 4: Simplify right side
    361.00x = 175,416.27
  5. Step 5: Solve for x
    x = 175,416.27/361.00
  6. Step 6: Final answer
    x = 485.92

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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.