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Finding the Fourth Proportional to 286.55, 427.39 and 251.92

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Solution

The fourth proportional to 286.55, 427.39 and 251.92 is: 375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.55 : 427.39 = 251.92 : x
  2. Step 2: Convert to fraction form
    286.55/427.39 = 251.92/x
  3. Step 3: Cross multiply
    286.55x = 427.39 × 251.92
  4. Step 4: Simplify right side
    286.55x = 107,668.09
  5. Step 5: Solve for x
    x = 107,668.09/286.55
  6. Step 6: Final answer
    x = 375.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.