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Finding the Fourth Proportional to 168.16, 230.51 and 165.70

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Solution

The fourth proportional to 168.16, 230.51 and 165.70 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 230.51 = 165.70 : x
  2. Step 2: Convert to fraction form
    168.16/230.51 = 165.70/x
  3. Step 3: Cross multiply
    168.16x = 230.51 × 165.70
  4. Step 4: Simplify right side
    168.16x = 38,195.51
  5. Step 5: Solve for x
    x = 38,195.51/168.16
  6. Step 6: Final answer
    x = 227.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.