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Finding the Fourth Proportional to 815.06, 1,222.80 and 237.94

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Solution

The fourth proportional to 815.06, 1,222.80 and 237.94 is: 356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 1,222.80 = 237.94 : x
  2. Step 2: Convert to fraction form
    815.06/1,222.80 = 237.94/x
  3. Step 3: Cross multiply
    815.06x = 1,222.80 × 237.94
  4. Step 4: Simplify right side
    815.06x = 290,949.08
  5. Step 5: Solve for x
    x = 290,949.08/815.06
  6. Step 6: Final answer
    x = 356.97

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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.