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Finding the Fourth Proportional to 171.50, 235.64 and 140.34

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Solution

The fourth proportional to 171.50, 235.64 and 140.34 is: 192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.50 : 235.64 = 140.34 : x
  2. Step 2: Convert to fraction form
    171.50/235.64 = 140.34/x
  3. Step 3: Cross multiply
    171.50x = 235.64 × 140.34
  4. Step 4: Simplify right side
    171.50x = 33,069.72
  5. Step 5: Solve for x
    x = 33,069.72/171.50
  6. Step 6: Final answer
    x = 192.83

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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.