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Finding the Fourth Proportional to 299.75, 445.82 and 296.51

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Solution

The fourth proportional to 299.75, 445.82 and 296.51 is: 441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 445.82 = 296.51 : x
  2. Step 2: Convert to fraction form
    299.75/445.82 = 296.51/x
  3. Step 3: Cross multiply
    299.75x = 445.82 × 296.51
  4. Step 4: Simplify right side
    299.75x = 132,186.38
  5. Step 5: Solve for x
    x = 132,186.38/299.75
  6. Step 6: Final answer
    x = 441.00

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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.