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Finding the Fourth Proportional to 275.85, 415.38 and 199.34

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Solution

The fourth proportional to 275.85, 415.38 and 199.34 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 415.38 = 199.34 : x
  2. Step 2: Convert to fraction form
    275.85/415.38 = 199.34/x
  3. Step 3: Cross multiply
    275.85x = 415.38 × 199.34
  4. Step 4: Simplify right side
    275.85x = 82,801.85
  5. Step 5: Solve for x
    x = 82,801.85/275.85
  6. Step 6: Final answer
    x = 300.17

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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.