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Finding the Fourth Proportional to 268.56, 369.84 and 219.12

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Solution

The fourth proportional to 268.56, 369.84 and 219.12 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.56 : 369.84 = 219.12 : x
  2. Step 2: Convert to fraction form
    268.56/369.84 = 219.12/x
  3. Step 3: Cross multiply
    268.56x = 369.84 × 219.12
  4. Step 4: Simplify right side
    268.56x = 81,039.34
  5. Step 5: Solve for x
    x = 81,039.34/268.56
  6. Step 6: Final answer
    x = 301.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.