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Finding the Fourth Proportional to 171.97, 235.64 and 170.38

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Solution

The fourth proportional to 171.97, 235.64 and 170.38 is: 233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.97 : 235.64 = 170.38 : x
  2. Step 2: Convert to fraction form
    171.97/235.64 = 170.38/x
  3. Step 3: Cross multiply
    171.97x = 235.64 × 170.38
  4. Step 4: Simplify right side
    171.97x = 40,148.34
  5. Step 5: Solve for x
    x = 40,148.34/171.97
  6. Step 6: Final answer
    x = 233.46

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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.