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Finding the Fourth Proportional to 168.20, 253.79 and 165.80

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Solution

The fourth proportional to 168.20, 253.79 and 165.80 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 253.79 = 165.80 : x
  2. Step 2: Convert to fraction form
    168.20/253.79 = 165.80/x
  3. Step 3: Cross multiply
    168.20x = 253.79 × 165.80
  4. Step 4: Simplify right side
    168.20x = 42,078.38
  5. Step 5: Solve for x
    x = 42,078.38/168.20
  6. Step 6: Final answer
    x = 250.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.