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Finding the Fourth Proportional to 169.51, 234.99 and 160.27

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Solution

The fourth proportional to 169.51, 234.99 and 160.27 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 234.99 = 160.27 : x
  2. Step 2: Convert to fraction form
    169.51/234.99 = 160.27/x
  3. Step 3: Cross multiply
    169.51x = 234.99 × 160.27
  4. Step 4: Simplify right side
    169.51x = 37,662.37
  5. Step 5: Solve for x
    x = 37,662.37/169.51
  6. Step 6: Final answer
    x = 222.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.