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Finding the Fourth Proportional to 361.12, 495.28 and 346.23

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Solution

The fourth proportional to 361.12, 495.28 and 346.23 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.12 : 495.28 = 346.23 : x
  2. Step 2: Convert to fraction form
    361.12/495.28 = 346.23/x
  3. Step 3: Cross multiply
    361.12x = 495.28 × 346.23
  4. Step 4: Simplify right side
    361.12x = 171,481.79
  5. Step 5: Solve for x
    x = 171,481.79/361.12
  6. Step 6: Final answer
    x = 474.86

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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.