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Finding the Fourth Proportional to 275.42, 379.25 and 269.35

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Solution

The fourth proportional to 275.42, 379.25 and 269.35 is: 370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 379.25 = 269.35 : x
  2. Step 2: Convert to fraction form
    275.42/379.25 = 269.35/x
  3. Step 3: Cross multiply
    275.42x = 379.25 × 269.35
  4. Step 4: Simplify right side
    275.42x = 102,147.74
  5. Step 5: Solve for x
    x = 102,147.74/275.42
  6. Step 6: Final answer
    x = 370.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.