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Finding the Fourth Proportional to 368.56, 505.31 and 361.97

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Solution

The fourth proportional to 368.56, 505.31 and 361.97 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.56 : 505.31 = 361.97 : x
  2. Step 2: Convert to fraction form
    368.56/505.31 = 361.97/x
  3. Step 3: Cross multiply
    368.56x = 505.31 × 361.97
  4. Step 4: Simplify right side
    368.56x = 182,909.50
  5. Step 5: Solve for x
    x = 182,909.50/368.56
  6. Step 6: Final answer
    x = 496.29

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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.