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Finding the Fourth Proportional to 350.63, 525.97 and 119.43

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Solution

The fourth proportional to 350.63, 525.97 and 119.43 is: 179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.63 : 525.97 = 119.43 : x
  2. Step 2: Convert to fraction form
    350.63/525.97 = 119.43/x
  3. Step 3: Cross multiply
    350.63x = 525.97 × 119.43
  4. Step 4: Simplify right side
    350.63x = 62,813.97
  5. Step 5: Solve for x
    x = 62,813.97/350.63
  6. Step 6: Final answer
    x = 179.15

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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.