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Finding the Fourth Proportional to 168.40, 250.56 and 165.16

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Solution

The fourth proportional to 168.40, 250.56 and 165.16 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 250.56 = 165.16 : x
  2. Step 2: Convert to fraction form
    168.40/250.56 = 165.16/x
  3. Step 3: Cross multiply
    168.40x = 250.56 × 165.16
  4. Step 4: Simplify right side
    168.40x = 41,382.49
  5. Step 5: Solve for x
    x = 41,382.49/168.40
  6. Step 6: Final answer
    x = 245.74

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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.