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Finding the Fourth Proportional to 361.02, 494.97 and 344.02

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Solution

The fourth proportional to 361.02, 494.97 and 344.02 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 494.97 = 344.02 : x
  2. Step 2: Convert to fraction form
    361.02/494.97 = 344.02/x
  3. Step 3: Cross multiply
    361.02x = 494.97 × 344.02
  4. Step 4: Simplify right side
    361.02x = 170,279.58
  5. Step 5: Solve for x
    x = 170,279.58/361.02
  6. Step 6: Final answer
    x = 471.66

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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.