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Finding the Fourth Proportional to 275.79, 380.40 and 192.92

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Solution

The fourth proportional to 275.79, 380.40 and 192.92 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.79 : 380.40 = 192.92 : x
  2. Step 2: Convert to fraction form
    275.79/380.40 = 192.92/x
  3. Step 3: Cross multiply
    275.79x = 380.40 × 192.92
  4. Step 4: Simplify right side
    275.79x = 73,384.14
  5. Step 5: Solve for x
    x = 73,384.14/275.79
  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.