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Finding the Fourth Proportional to 170.69, 235.59 and 105.25

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Solution

The fourth proportional to 170.69, 235.59 and 105.25 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.69 : 235.59 = 105.25 : x
  2. Step 2: Convert to fraction form
    170.69/235.59 = 105.25/x
  3. Step 3: Cross multiply
    170.69x = 235.59 × 105.25
  4. Step 4: Simplify right side
    170.69x = 24,795.85
  5. Step 5: Solve for x
    x = 24,795.85/170.69
  6. Step 6: Final answer
    x = 145.27

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