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Finding the Fourth Proportional to 462.56, 694.19 and 219.25

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Solution

The fourth proportional to 462.56, 694.19 and 219.25 is: 329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 694.19 = 219.25 : x
  2. Step 2: Convert to fraction form
    462.56/694.19 = 219.25/x
  3. Step 3: Cross multiply
    462.56x = 694.19 × 219.25
  4. Step 4: Simplify right side
    462.56x = 152,200.06
  5. Step 5: Solve for x
    x = 152,200.06/462.56
  6. Step 6: Final answer
    x = 329.04

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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.