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Finding the Fourth Proportional to 275.50, 379.89 and 192.58

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Solution

The fourth proportional to 275.50, 379.89 and 192.58 is: 265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.50 : 379.89 = 192.58 : x
  2. Step 2: Convert to fraction form
    275.50/379.89 = 192.58/x
  3. Step 3: Cross multiply
    275.50x = 379.89 × 192.58
  4. Step 4: Simplify right side
    275.50x = 73,158.27
  5. Step 5: Solve for x
    x = 73,158.27/275.50
  6. Step 6: Final answer
    x = 265.55

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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.