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Finding the Fourth Proportional to 269.27, 371.16 and 220.06

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Solution

The fourth proportional to 269.27, 371.16 and 220.06 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 371.16 = 220.06 : x
  2. Step 2: Convert to fraction form
    269.27/371.16 = 220.06/x
  3. Step 3: Cross multiply
    269.27x = 371.16 × 220.06
  4. Step 4: Simplify right side
    269.27x = 81,677.93
  5. Step 5: Solve for x
    x = 81,677.93/269.27
  6. Step 6: Final answer
    x = 303.33

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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.