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Finding the Fourth Proportional to 361.83, 538.41 and 360.62

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Solution

The fourth proportional to 361.83, 538.41 and 360.62 is: 536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.83 : 538.41 = 360.62 : x
  2. Step 2: Convert to fraction form
    361.83/538.41 = 360.62/x
  3. Step 3: Cross multiply
    361.83x = 538.41 × 360.62
  4. Step 4: Simplify right side
    361.83x = 194,162.09
  5. Step 5: Solve for x
    x = 194,162.09/361.83
  6. Step 6: Final answer
    x = 536.61

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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.