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Finding the Fourth Proportional to 192.89, 289.95 and 166.16

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Solution

The fourth proportional to 192.89, 289.95 and 166.16 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.89 : 289.95 = 166.16 : x
  2. Step 2: Convert to fraction form
    192.89/289.95 = 166.16/x
  3. Step 3: Cross multiply
    192.89x = 289.95 × 166.16
  4. Step 4: Simplify right side
    192.89x = 48,178.19
  5. Step 5: Solve for x
    x = 48,178.19/192.89
  6. Step 6: Final answer
    x = 249.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.