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Finding the Fourth Proportional to 192.44, 286.90 and 171.80

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Solution

The fourth proportional to 192.44, 286.90 and 171.80 is: 256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.44 : 286.90 = 171.80 : x
  2. Step 2: Convert to fraction form
    192.44/286.90 = 171.80/x
  3. Step 3: Cross multiply
    192.44x = 286.90 × 171.80
  4. Step 4: Simplify right side
    192.44x = 49,289.42
  5. Step 5: Solve for x
    x = 49,289.42/192.44
  6. Step 6: Final answer
    x = 256.13

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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.