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Finding the Fourth Proportional to 269.38, 371.53 and 186.62

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Solution

The fourth proportional to 269.38, 371.53 and 186.62 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 371.53 = 186.62 : x
  2. Step 2: Convert to fraction form
    269.38/371.53 = 186.62/x
  3. Step 3: Cross multiply
    269.38x = 371.53 × 186.62
  4. Step 4: Simplify right side
    269.38x = 69,334.93
  5. Step 5: Solve for x
    x = 69,334.93/269.38
  6. Step 6: Final answer
    x = 257.39

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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.