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Finding the Fourth Proportional to 463.04, 693.96 and 219.44

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Solution

The fourth proportional to 463.04, 693.96 and 219.44 is: 328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 693.96 = 219.44 : x
  2. Step 2: Convert to fraction form
    463.04/693.96 = 219.44/x
  3. Step 3: Cross multiply
    463.04x = 693.96 × 219.44
  4. Step 4: Simplify right side
    463.04x = 152,282.58
  5. Step 5: Solve for x
    x = 152,282.58/463.04
  6. Step 6: Final answer
    x = 328.88

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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.