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Finding the Fourth Proportional to 815.09, 1,222.54 and 237.97

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Solution

The fourth proportional to 815.09, 1,222.54 and 237.97 is: 356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.09 : 1,222.54 = 237.97 : x
  2. Step 2: Convert to fraction form
    815.09/1,222.54 = 237.97/x
  3. Step 3: Cross multiply
    815.09x = 1,222.54 × 237.97
  4. Step 4: Simplify right side
    815.09x = 290,920.54
  5. Step 5: Solve for x
    x = 290,920.54/815.09
  6. Step 6: Final answer
    x = 356.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.