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Finding the Fourth Proportional to 282.87, 388.13 and 267.39

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Solution

The fourth proportional to 282.87, 388.13 and 267.39 is: 366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 388.13 = 267.39 : x
  2. Step 2: Convert to fraction form
    282.87/388.13 = 267.39/x
  3. Step 3: Cross multiply
    282.87x = 388.13 × 267.39
  4. Step 4: Simplify right side
    282.87x = 103,780.74
  5. Step 5: Solve for x
    x = 103,780.74/282.87
  6. Step 6: Final answer
    x = 366.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.