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Finding the Fourth Proportional to 286.25, 431.48 and 267.44

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Solution

The fourth proportional to 286.25, 431.48 and 267.44 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.25 : 431.48 = 267.44 : x
  2. Step 2: Convert to fraction form
    286.25/431.48 = 267.44/x
  3. Step 3: Cross multiply
    286.25x = 431.48 × 267.44
  4. Step 4: Simplify right side
    286.25x = 115,393.52
  5. Step 5: Solve for x
    x = 115,393.52/286.25
  6. Step 6: Final answer
    x = 403.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.