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Finding the Fourth Proportional to 365.04, 496.80 and 361.80

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Solution

The fourth proportional to 365.04, 496.80 and 361.80 is: 492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 496.80 = 361.80 : x
  2. Step 2: Convert to fraction form
    365.04/496.80 = 361.80/x
  3. Step 3: Cross multiply
    365.04x = 496.80 × 361.80
  4. Step 4: Simplify right side
    365.04x = 179,742.24
  5. Step 5: Solve for x
    x = 179,742.24/365.04
  6. Step 6: Final answer
    x = 492.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.