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Finding the Fourth Proportional to 170.53, 234.91 and 142.89

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Solution

The fourth proportional to 170.53, 234.91 and 142.89 is: 196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.53 : 234.91 = 142.89 : x
  2. Step 2: Convert to fraction form
    170.53/234.91 = 142.89/x
  3. Step 3: Cross multiply
    170.53x = 234.91 × 142.89
  4. Step 4: Simplify right side
    170.53x = 33,566.29
  5. Step 5: Solve for x
    x = 33,566.29/170.53
  6. Step 6: Final answer
    x = 196.84

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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.