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Finding the Fourth Proportional to 192.17, 286.40 and 191.87

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Solution

The fourth proportional to 192.17, 286.40 and 191.87 is: 285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 286.40 = 191.87 : x
  2. Step 2: Convert to fraction form
    192.17/286.40 = 191.87/x
  3. Step 3: Cross multiply
    192.17x = 286.40 × 191.87
  4. Step 4: Simplify right side
    192.17x = 54,949.18
  5. Step 5: Solve for x
    x = 54,949.18/192.17
  6. Step 6: Final answer
    x = 285.95

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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.