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Finding the Fourth Proportional to 192.17, 286.93 and 133.94

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Solution

The fourth proportional to 192.17, 286.93 and 133.94 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 286.93 = 133.94 : x
  2. Step 2: Convert to fraction form
    192.17/286.93 = 133.94/x
  3. Step 3: Cross multiply
    192.17x = 286.93 × 133.94
  4. Step 4: Simplify right side
    192.17x = 38,431.40
  5. Step 5: Solve for x
    x = 38,431.40/192.17
  6. Step 6: Final answer
    x = 199.99

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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.