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Finding the Fourth Proportional to 350.85, 525.82 and 219.03

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Solution

The fourth proportional to 350.85, 525.82 and 219.03 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.85 : 525.82 = 219.03 : x
  2. Step 2: Convert to fraction form
    350.85/525.82 = 219.03/x
  3. Step 3: Cross multiply
    350.85x = 525.82 × 219.03
  4. Step 4: Simplify right side
    350.85x = 115,167.73
  5. Step 5: Solve for x
    x = 115,167.73/350.85
  6. Step 6: Final answer
    x = 328.25

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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.