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Finding the Fourth Proportional to 170.74, 235.23 and 143.29

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Solution

The fourth proportional to 170.74, 235.23 and 143.29 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.74 : 235.23 = 143.29 : x
  2. Step 2: Convert to fraction form
    170.74/235.23 = 143.29/x
  3. Step 3: Cross multiply
    170.74x = 235.23 × 143.29
  4. Step 4: Simplify right side
    170.74x = 33,706.11
  5. Step 5: Solve for x
    x = 33,706.11/170.74
  6. Step 6: Final answer
    x = 197.41

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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.