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Finding the Fourth Proportional to 282.33, 388.80 and 281.49

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Solution

The fourth proportional to 282.33, 388.80 and 281.49 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.33 : 388.80 = 281.49 : x
  2. Step 2: Convert to fraction form
    282.33/388.80 = 281.49/x
  3. Step 3: Cross multiply
    282.33x = 388.80 × 281.49
  4. Step 4: Simplify right side
    282.33x = 109,443.31
  5. Step 5: Solve for x
    x = 109,443.31/282.33
  6. Step 6: Final answer
    x = 387.64

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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.