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Finding the Fourth Proportional to 610.28, 914.87 and 219.96

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Solution

The fourth proportional to 610.28, 914.87 and 219.96 is: 329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.28 : 914.87 = 219.96 : x
  2. Step 2: Convert to fraction form
    610.28/914.87 = 219.96/x
  3. Step 3: Cross multiply
    610.28x = 914.87 × 219.96
  4. Step 4: Simplify right side
    610.28x = 201,235.99
  5. Step 5: Solve for x
    x = 201,235.99/610.28
  6. Step 6: Final answer
    x = 329.74

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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.