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Finding the Fourth Proportional to 121.60, 182.24 and 92.96

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Solution

The fourth proportional to 121.60, 182.24 and 92.96 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 182.24 = 92.96 : x
  2. Step 2: Convert to fraction form
    121.60/182.24 = 92.96/x
  3. Step 3: Cross multiply
    121.60x = 182.24 × 92.96
  4. Step 4: Simplify right side
    121.60x = 16,941.03
  5. Step 5: Solve for x
    x = 16,941.03/121.60
  6. Step 6: Final answer
    x = 139.32

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Why These Related Problems?

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