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Finding the Fourth Proportional to 286.04, 391.86 and 275.10

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Solution

The fourth proportional to 286.04, 391.86 and 275.10 is: 376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.04 : 391.86 = 275.10 : x
  2. Step 2: Convert to fraction form
    286.04/391.86 = 275.10/x
  3. Step 3: Cross multiply
    286.04x = 391.86 × 275.10
  4. Step 4: Simplify right side
    286.04x = 107,800.69
  5. Step 5: Solve for x
    x = 107,800.69/286.04
  6. Step 6: Final answer
    x = 376.88

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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.