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Finding the Fourth Proportional to 269.26, 405.67 and 231.58

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Solution

The fourth proportional to 269.26, 405.67 and 231.58 is: 348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 405.67 = 231.58 : x
  2. Step 2: Convert to fraction form
    269.26/405.67 = 231.58/x
  3. Step 3: Cross multiply
    269.26x = 405.67 × 231.58
  4. Step 4: Simplify right side
    269.26x = 93,945.06
  5. Step 5: Solve for x
    x = 93,945.06/269.26
  6. Step 6: Final answer
    x = 348.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.