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Finding the Fourth Proportional to 275.85, 415.85 and 273.42

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Solution

The fourth proportional to 275.85, 415.85 and 273.42 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 415.85 = 273.42 : x
  2. Step 2: Convert to fraction form
    275.85/415.85 = 273.42/x
  3. Step 3: Cross multiply
    275.85x = 415.85 × 273.42
  4. Step 4: Simplify right side
    275.85x = 113,700.34
  5. Step 5: Solve for x
    x = 113,700.34/275.85
  6. Step 6: Final answer
    x = 412.18

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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.