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Finding the Fourth Proportional to 275.05, 379.34 and 192.05

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Solution

The fourth proportional to 275.05, 379.34 and 192.05 is: 264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 379.34 = 192.05 : x
  2. Step 2: Convert to fraction form
    275.05/379.34 = 192.05/x
  3. Step 3: Cross multiply
    275.05x = 379.34 × 192.05
  4. Step 4: Simplify right side
    275.05x = 72,851.29
  5. Step 5: Solve for x
    x = 72,851.29/275.05
  6. Step 6: Final answer
    x = 264.87

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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.