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Finding the Fourth Proportional to 286.26, 426.10 and 272.98

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Solution

The fourth proportional to 286.26, 426.10 and 272.98 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 426.10 = 272.98 : x
  2. Step 2: Convert to fraction form
    286.26/426.10 = 272.98/x
  3. Step 3: Cross multiply
    286.26x = 426.10 × 272.98
  4. Step 4: Simplify right side
    286.26x = 116,316.78
  5. Step 5: Solve for x
    x = 116,316.78/286.26
  6. Step 6: Final answer
    x = 406.33

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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.