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Finding the Fourth Proportional to 286.14, 426.50 and 278.44

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Solution

The fourth proportional to 286.14, 426.50 and 278.44 is: 415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 426.50 = 278.44 : x
  2. Step 2: Convert to fraction form
    286.14/426.50 = 278.44/x
  3. Step 3: Cross multiply
    286.14x = 426.50 × 278.44
  4. Step 4: Simplify right side
    286.14x = 118,754.66
  5. Step 5: Solve for x
    x = 118,754.66/286.14
  6. Step 6: Final answer
    x = 415.02

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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.