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Finding the Fourth Proportional to 275.56, 380.66 and 192.63

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Solution

The fourth proportional to 275.56, 380.66 and 192.63 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 380.66 = 192.63 : x
  2. Step 2: Convert to fraction form
    275.56/380.66 = 192.63/x
  3. Step 3: Cross multiply
    275.56x = 380.66 × 192.63
  4. Step 4: Simplify right side
    275.56x = 73,323.67
  5. Step 5: Solve for x
    x = 73,323.67/275.56
  6. Step 6: Final answer
    x = 266.09

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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.