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Finding the Fourth Proportional to 192.17, 286.76 and 164.73

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Solution

The fourth proportional to 192.17, 286.76 and 164.73 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 286.76 = 164.73 : x
  2. Step 2: Convert to fraction form
    192.17/286.76 = 164.73/x
  3. Step 3: Cross multiply
    192.17x = 286.76 × 164.73
  4. Step 4: Simplify right side
    192.17x = 47,239.46
  5. Step 5: Solve for x
    x = 47,239.46/192.17
  6. Step 6: Final answer
    x = 245.82

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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.