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Finding the Fourth Proportional to 170.67, 255.97 and 48.90

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Solution

The fourth proportional to 170.67, 255.97 and 48.90 is: 73.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.67 : 255.97 = 48.90 : x
  2. Step 2: Convert to fraction form
    170.67/255.97 = 48.90/x
  3. Step 3: Cross multiply
    170.67x = 255.97 × 48.90
  4. Step 4: Simplify right side
    170.67x = 12,517.95
  5. Step 5: Solve for x
    x = 12,517.95/170.67
  6. Step 6: Final answer
    x = 73.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.