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Finding the Fourth Proportional to 361.30, 494.18 and 355.63

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Solution

The fourth proportional to 361.30, 494.18 and 355.63 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.30 : 494.18 = 355.63 : x
  2. Step 2: Convert to fraction form
    361.30/494.18 = 355.63/x
  3. Step 3: Cross multiply
    361.30x = 494.18 × 355.63
  4. Step 4: Simplify right side
    361.30x = 175,743.46
  5. Step 5: Solve for x
    x = 175,743.46/361.30
  6. Step 6: Final answer
    x = 486.42

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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.