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Finding the Fourth Proportional to 348.85, 523.36 and 105.38

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Solution

The fourth proportional to 348.85, 523.36 and 105.38 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.85 : 523.36 = 105.38 : x
  2. Step 2: Convert to fraction form
    348.85/523.36 = 105.38/x
  3. Step 3: Cross multiply
    348.85x = 523.36 × 105.38
  4. Step 4: Simplify right side
    348.85x = 55,151.15
  5. Step 5: Solve for x
    x = 55,151.15/348.85
  6. Step 6: Final answer
    x = 158.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.