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Finding the Fourth Proportional to 282.93, 390.72 and 227.97

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Solution

The fourth proportional to 282.93, 390.72 and 227.97 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.93 : 390.72 = 227.97 : x
  2. Step 2: Convert to fraction form
    282.93/390.72 = 227.97/x
  3. Step 3: Cross multiply
    282.93x = 390.72 × 227.97
  4. Step 4: Simplify right side
    282.93x = 89,072.44
  5. Step 5: Solve for x
    x = 89,072.44/282.93
  6. Step 6: Final answer
    x = 314.82

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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.