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Finding the Fourth Proportional to 269.37, 371.54 and 217.03

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Solution

The fourth proportional to 269.37, 371.54 and 217.03 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.37 : 371.54 = 217.03 : x
  2. Step 2: Convert to fraction form
    269.37/371.54 = 217.03/x
  3. Step 3: Cross multiply
    269.37x = 371.54 × 217.03
  4. Step 4: Simplify right side
    269.37x = 80,635.33
  5. Step 5: Solve for x
    x = 80,635.33/269.37
  6. Step 6: Final answer
    x = 299.35

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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.