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Finding the Fourth Proportional to 350.31, 525.01 and 194.03

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Solution

The fourth proportional to 350.31, 525.01 and 194.03 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.31 : 525.01 = 194.03 : x
  2. Step 2: Convert to fraction form
    350.31/525.01 = 194.03/x
  3. Step 3: Cross multiply
    350.31x = 525.01 × 194.03
  4. Step 4: Simplify right side
    350.31x = 101,867.69
  5. Step 5: Solve for x
    x = 101,867.69/350.31
  6. Step 6: Final answer
    x = 290.79

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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.