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Finding the Fourth Proportional to 269.05, 371.55 and 231.86

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Solution

The fourth proportional to 269.05, 371.55 and 231.86 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.05 : 371.55 = 231.86 : x
  2. Step 2: Convert to fraction form
    269.05/371.55 = 231.86/x
  3. Step 3: Cross multiply
    269.05x = 371.55 × 231.86
  4. Step 4: Simplify right side
    269.05x = 86,148.34
  5. Step 5: Solve for x
    x = 86,148.34/269.05
  6. Step 6: Final answer
    x = 320.19

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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.