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Finding the Fourth Proportional to 192.96, 287.75 and 171.95

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Solution

The fourth proportional to 192.96, 287.75 and 171.95 is: 256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.96 : 287.75 = 171.95 : x
  2. Step 2: Convert to fraction form
    192.96/287.75 = 171.95/x
  3. Step 3: Cross multiply
    192.96x = 287.75 × 171.95
  4. Step 4: Simplify right side
    192.96x = 49,476.31
  5. Step 5: Solve for x
    x = 49,476.31/192.96
  6. Step 6: Final answer
    x = 256.41

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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.