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Finding the Fourth Proportional to 365.67, 544.37 and 361.55

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Solution

The fourth proportional to 365.67, 544.37 and 361.55 is: 538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.67 : 544.37 = 361.55 : x
  2. Step 2: Convert to fraction form
    365.67/544.37 = 361.55/x
  3. Step 3: Cross multiply
    365.67x = 544.37 × 361.55
  4. Step 4: Simplify right side
    365.67x = 196,816.53
  5. Step 5: Solve for x
    x = 196,816.53/365.67
  6. Step 6: Final answer
    x = 538.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.