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Finding the Fourth Proportional to 192.24, 286.56 and 185.76

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Solution

The fourth proportional to 192.24, 286.56 and 185.76 is: 276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 286.56 = 185.76 : x
  2. Step 2: Convert to fraction form
    192.24/286.56 = 185.76/x
  3. Step 3: Cross multiply
    192.24x = 286.56 × 185.76
  4. Step 4: Simplify right side
    192.24x = 53,231.39
  5. Step 5: Solve for x
    x = 53,231.39/192.24
  6. Step 6: Final answer
    x = 276.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.