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Finding the Fourth Proportional to 171.11, 234.83 and 153.22

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Solution

The fourth proportional to 171.11, 234.83 and 153.22 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.11 : 234.83 = 153.22 : x
  2. Step 2: Convert to fraction form
    171.11/234.83 = 153.22/x
  3. Step 3: Cross multiply
    171.11x = 234.83 × 153.22
  4. Step 4: Simplify right side
    171.11x = 35,979.87
  5. Step 5: Solve for x
    x = 35,979.87/171.11
  6. Step 6: Final answer
    x = 210.28

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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.