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Finding the Fourth Proportional to 275.81, 415.31 and 199.29

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Solution

The fourth proportional to 275.81, 415.31 and 199.29 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 415.31 = 199.29 : x
  2. Step 2: Convert to fraction form
    275.81/415.31 = 199.29/x
  3. Step 3: Cross multiply
    275.81x = 415.31 × 199.29
  4. Step 4: Simplify right side
    275.81x = 82,767.13
  5. Step 5: Solve for x
    x = 82,767.13/275.81
  6. Step 6: Final answer
    x = 300.09

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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.