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Finding the Fourth Proportional to 348.80, 523.26 and 105.35

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Solution

The fourth proportional to 348.80, 523.26 and 105.35 is: 158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 523.26 = 105.35 : x
  2. Step 2: Convert to fraction form
    348.80/523.26 = 105.35/x
  3. Step 3: Cross multiply
    348.80x = 523.26 × 105.35
  4. Step 4: Simplify right side
    348.80x = 55,122.82
  5. Step 5: Solve for x
    x = 55,122.82/348.80
  6. Step 6: Final answer
    x = 158.04

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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.