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Finding the Fourth Proportional to 170.92, 235.88 and 105.38

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Solution

The fourth proportional to 170.92, 235.88 and 105.38 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.92 : 235.88 = 105.38 : x
  2. Step 2: Convert to fraction form
    170.92/235.88 = 105.38/x
  3. Step 3: Cross multiply
    170.92x = 235.88 × 105.38
  4. Step 4: Simplify right side
    170.92x = 24,855.33
  5. Step 5: Solve for x
    x = 24,855.33/170.92
  6. Step 6: Final answer
    x = 145.42

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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.