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Finding the Fourth Proportional to 361.77, 538.62 and 359.94

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Solution

The fourth proportional to 361.77, 538.62 and 359.94 is: 535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.77 : 538.62 = 359.94 : x
  2. Step 2: Convert to fraction form
    361.77/538.62 = 359.94/x
  3. Step 3: Cross multiply
    361.77x = 538.62 × 359.94
  4. Step 4: Simplify right side
    361.77x = 193,874.59
  5. Step 5: Solve for x
    x = 193,874.59/361.77
  6. Step 6: Final answer
    x = 535.91

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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.