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Finding the Fourth Proportional to 300.14, 452.43 and 287.78

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Solution

The fourth proportional to 300.14, 452.43 and 287.78 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 452.43 = 287.78 : x
  2. Step 2: Convert to fraction form
    300.14/452.43 = 287.78/x
  3. Step 3: Cross multiply
    300.14x = 452.43 × 287.78
  4. Step 4: Simplify right side
    300.14x = 130,198.04
  5. Step 5: Solve for x
    x = 130,198.04/300.14
  6. Step 6: Final answer
    x = 433.80

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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.