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Finding the Fourth Proportional to 192.38, 287.07 and 171.87

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Solution

The fourth proportional to 192.38, 287.07 and 171.87 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.38 : 287.07 = 171.87 : x
  2. Step 2: Convert to fraction form
    192.38/287.07 = 171.87/x
  3. Step 3: Cross multiply
    192.38x = 287.07 × 171.87
  4. Step 4: Simplify right side
    192.38x = 49,339.10
  5. Step 5: Solve for x
    x = 49,339.10/192.38
  6. Step 6: Final answer
    x = 256.47

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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.