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Finding the Fourth Proportional to 168.80, 251.56 and 165.16

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Solution

The fourth proportional to 168.80, 251.56 and 165.16 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.80 : 251.56 = 165.16 : x
  2. Step 2: Convert to fraction form
    168.80/251.56 = 165.16/x
  3. Step 3: Cross multiply
    168.80x = 251.56 × 165.16
  4. Step 4: Simplify right side
    168.80x = 41,547.65
  5. Step 5: Solve for x
    x = 41,547.65/168.80
  6. Step 6: Final answer
    x = 246.14

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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.