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Finding the Fourth Proportional to 170.34, 234.54 and 141.18

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Solution

The fourth proportional to 170.34, 234.54 and 141.18 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 234.54 = 141.18 : x
  2. Step 2: Convert to fraction form
    170.34/234.54 = 141.18/x
  3. Step 3: Cross multiply
    170.34x = 234.54 × 141.18
  4. Step 4: Simplify right side
    170.34x = 33,112.36
  5. Step 5: Solve for x
    x = 33,112.36/170.34
  6. Step 6: Final answer
    x = 194.39

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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.