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Finding the Fourth Proportional to 275.12, 380.05 and 192.20

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Solution

The fourth proportional to 275.12, 380.05 and 192.20 is: 265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.12 : 380.05 = 192.20 : x
  2. Step 2: Convert to fraction form
    275.12/380.05 = 192.20/x
  3. Step 3: Cross multiply
    275.12x = 380.05 × 192.20
  4. Step 4: Simplify right side
    275.12x = 73,043.23
  5. Step 5: Solve for x
    x = 73,043.23/275.12
  6. Step 6: Final answer
    x = 265.50

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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.