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Finding the Fourth Proportional to 171.39, 235.11 and 162.09

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Solution

The fourth proportional to 171.39, 235.11 and 162.09 is: 222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.39 : 235.11 = 162.09 : x
  2. Step 2: Convert to fraction form
    171.39/235.11 = 162.09/x
  3. Step 3: Cross multiply
    171.39x = 235.11 × 162.09
  4. Step 4: Simplify right side
    171.39x = 38,108.98
  5. Step 5: Solve for x
    x = 38,108.98/171.39
  6. Step 6: Final answer
    x = 222.35

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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.