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Finding the Fourth Proportional to 120.72, 165.36 and 119.16

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Solution

The fourth proportional to 120.72, 165.36 and 119.16 is: 163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.72 : 165.36 = 119.16 : x
  2. Step 2: Convert to fraction form
    120.72/165.36 = 119.16/x
  3. Step 3: Cross multiply
    120.72x = 165.36 × 119.16
  4. Step 4: Simplify right side
    120.72x = 19,704.30
  5. Step 5: Solve for x
    x = 19,704.30/120.72
  6. Step 6: Final answer
    x = 163.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.