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Finding the Fourth Proportional to 648.09, 972.12 and 161.15

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Solution

The fourth proportional to 648.09, 972.12 and 161.15 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 972.12 = 161.15 : x
  2. Step 2: Convert to fraction form
    648.09/972.12 = 161.15/x
  3. Step 3: Cross multiply
    648.09x = 972.12 × 161.15
  4. Step 4: Simplify right side
    648.09x = 156,652.28
  5. Step 5: Solve for x
    x = 156,652.28/648.09
  6. Step 6: Final answer
    x = 241.71

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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.