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Finding the Fourth Proportional to 282.97, 426.04 and 248.95

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Solution

The fourth proportional to 282.97, 426.04 and 248.95 is: 374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.97 : 426.04 = 248.95 : x
  2. Step 2: Convert to fraction form
    282.97/426.04 = 248.95/x
  3. Step 3: Cross multiply
    282.97x = 426.04 × 248.95
  4. Step 4: Simplify right side
    282.97x = 106,062.66
  5. Step 5: Solve for x
    x = 106,062.66/282.97
  6. Step 6: Final answer
    x = 374.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.