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Finding the Fourth Proportional to 192.98, 288.09 and 166.86

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Solution

The fourth proportional to 192.98, 288.09 and 166.86 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 288.09 = 166.86 : x
  2. Step 2: Convert to fraction form
    192.98/288.09 = 166.86/x
  3. Step 3: Cross multiply
    192.98x = 288.09 × 166.86
  4. Step 4: Simplify right side
    192.98x = 48,070.70
  5. Step 5: Solve for x
    x = 48,070.70/192.98
  6. Step 6: Final answer
    x = 249.09

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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.