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Finding the Fourth Proportional to 268.85, 371.21 and 209.69

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Solution

The fourth proportional to 268.85, 371.21 and 209.69 is: 289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 371.21 = 209.69 : x
  2. Step 2: Convert to fraction form
    268.85/371.21 = 209.69/x
  3. Step 3: Cross multiply
    268.85x = 371.21 × 209.69
  4. Step 4: Simplify right side
    268.85x = 77,838.90
  5. Step 5: Solve for x
    x = 77,838.90/268.85
  6. Step 6: Final answer
    x = 289.53

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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.