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Finding the Fourth Proportional to 281.68, 421.96 and 219.76

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Solution

The fourth proportional to 281.68, 421.96 and 219.76 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.68 : 421.96 = 219.76 : x
  2. Step 2: Convert to fraction form
    281.68/421.96 = 219.76/x
  3. Step 3: Cross multiply
    281.68x = 421.96 × 219.76
  4. Step 4: Simplify right side
    281.68x = 92,731.11
  5. Step 5: Solve for x
    x = 92,731.11/281.68
  6. Step 6: Final answer
    x = 329.21

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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.