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Finding the Fourth Proportional to 463.40, 694.89 and 219.99

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Solution

The fourth proportional to 463.40, 694.89 and 219.99 is: 329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.40 : 694.89 = 219.99 : x
  2. Step 2: Convert to fraction form
    463.40/694.89 = 219.99/x
  3. Step 3: Cross multiply
    463.40x = 694.89 × 219.99
  4. Step 4: Simplify right side
    463.40x = 152,868.85
  5. Step 5: Solve for x
    x = 152,868.85/463.40
  6. Step 6: Final answer
    x = 329.89

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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.