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Finding the Fourth Proportional to 193.10, 287.94 and 168.80

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Solution

The fourth proportional to 193.10, 287.94 and 168.80 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 287.94 = 168.80 : x
  2. Step 2: Convert to fraction form
    193.10/287.94 = 168.80/x
  3. Step 3: Cross multiply
    193.10x = 287.94 × 168.80
  4. Step 4: Simplify right side
    193.10x = 48,603.47
  5. Step 5: Solve for x
    x = 48,603.47/193.10
  6. Step 6: Final answer
    x = 251.71

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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.