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Finding the Fourth Proportional to 170.42, 234.94 and 140.80

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Solution

The fourth proportional to 170.42, 234.94 and 140.80 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 234.94 = 140.80 : x
  2. Step 2: Convert to fraction form
    170.42/234.94 = 140.80/x
  3. Step 3: Cross multiply
    170.42x = 234.94 × 140.80
  4. Step 4: Simplify right side
    170.42x = 33,079.55
  5. Step 5: Solve for x
    x = 33,079.55/170.42
  6. Step 6: Final answer
    x = 194.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.