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Finding the Fourth Proportional to 282.04, 391.91 and 279.07

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Solution

The fourth proportional to 282.04, 391.91 and 279.07 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.04 : 391.91 = 279.07 : x
  2. Step 2: Convert to fraction form
    282.04/391.91 = 279.07/x
  3. Step 3: Cross multiply
    282.04x = 391.91 × 279.07
  4. Step 4: Simplify right side
    282.04x = 109,370.32
  5. Step 5: Solve for x
    x = 109,370.32/282.04
  6. Step 6: Final answer
    x = 387.78

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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.