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Finding the Fourth Proportional to 168.84, 232.88 and 137.78

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Solution

The fourth proportional to 168.84, 232.88 and 137.78 is: 190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 232.88 = 137.78 : x
  2. Step 2: Convert to fraction form
    168.84/232.88 = 137.78/x
  3. Step 3: Cross multiply
    168.84x = 232.88 × 137.78
  4. Step 4: Simplify right side
    168.84x = 32,086.21
  5. Step 5: Solve for x
    x = 32,086.21/168.84
  6. Step 6: Final answer
    x = 190.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.