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Finding the Fourth Proportional to 361.99, 502.21 and 349.03

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Solution

The fourth proportional to 361.99, 502.21 and 349.03 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 502.21 = 349.03 : x
  2. Step 2: Convert to fraction form
    361.99/502.21 = 349.03/x
  3. Step 3: Cross multiply
    361.99x = 502.21 × 349.03
  4. Step 4: Simplify right side
    361.99x = 175,282.10
  5. Step 5: Solve for x
    x = 175,282.10/361.99
  6. Step 6: Final answer
    x = 484.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.