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Finding the Fourth Proportional to 286.99, 428.40 and 252.39

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Solution

The fourth proportional to 286.99, 428.40 and 252.39 is: 376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 428.40 = 252.39 : x
  2. Step 2: Convert to fraction form
    286.99/428.40 = 252.39/x
  3. Step 3: Cross multiply
    286.99x = 428.40 × 252.39
  4. Step 4: Simplify right side
    286.99x = 108,122.61
  5. Step 5: Solve for x
    x = 108,122.61/286.99
  6. Step 6: Final answer
    x = 376.75

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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.