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Finding the Fourth Proportional to 282.39, 391.69 and 274.90

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Solution

The fourth proportional to 282.39, 391.69 and 274.90 is: 381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 391.69 = 274.90 : x
  2. Step 2: Convert to fraction form
    282.39/391.69 = 274.90/x
  3. Step 3: Cross multiply
    282.39x = 391.69 × 274.90
  4. Step 4: Simplify right side
    282.39x = 107,675.58
  5. Step 5: Solve for x
    x = 107,675.58/282.39
  6. Step 6: Final answer
    x = 381.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.