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Finding the Fourth Proportional to 268.83, 371.49 and 219.69

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Solution

The fourth proportional to 268.83, 371.49 and 219.69 is: 303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 371.49 = 219.69 : x
  2. Step 2: Convert to fraction form
    268.83/371.49 = 219.69/x
  3. Step 3: Cross multiply
    268.83x = 371.49 × 219.69
  4. Step 4: Simplify right side
    268.83x = 81,612.64
  5. Step 5: Solve for x
    x = 81,612.64/268.83
  6. Step 6: Final answer
    x = 303.58

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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.