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Finding the Fourth Proportional to 286.45, 429.87 and 269.38

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Solution

The fourth proportional to 286.45, 429.87 and 269.38 is: 404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.45 : 429.87 = 269.38 : x
  2. Step 2: Convert to fraction form
    286.45/429.87 = 269.38/x
  3. Step 3: Cross multiply
    286.45x = 429.87 × 269.38
  4. Step 4: Simplify right side
    286.45x = 115,798.38
  5. Step 5: Solve for x
    x = 115,798.38/286.45
  6. Step 6: Final answer
    x = 404.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.