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Finding the Fourth Proportional to 282.29, 388.94 and 237.87

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Solution

The fourth proportional to 282.29, 388.94 and 237.87 is: 327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 388.94 = 237.87 : x
  2. Step 2: Convert to fraction form
    282.29/388.94 = 237.87/x
  3. Step 3: Cross multiply
    282.29x = 388.94 × 237.87
  4. Step 4: Simplify right side
    282.29x = 92,515.97
  5. Step 5: Solve for x
    x = 92,515.97/282.29
  6. Step 6: Final answer
    x = 327.74

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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.