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Finding the Fourth Proportional to 361.72, 495.88 and 359

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Solution

The fourth proportional to 361.72, 495.88 and 359 is: 492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.72 : 495.88 = 359 : x
  2. Step 2: Convert to fraction form
    361.72/495.88 = 359/x
  3. Step 3: Cross multiply
    361.72x = 495.88 × 359
  4. Step 4: Simplify right side
    361.72x = 178,020.92
  5. Step 5: Solve for x
    x = 178,020.92/361.72
  6. Step 6: Final answer
    x = 492.15

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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.