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Finding the Fourth Proportional to 120.28, 164.96 and 115.32

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Solution

The fourth proportional to 120.28, 164.96 and 115.32 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 164.96 = 115.32 : x
  2. Step 2: Convert to fraction form
    120.28/164.96 = 115.32/x
  3. Step 3: Cross multiply
    120.28x = 164.96 × 115.32
  4. Step 4: Simplify right side
    120.28x = 19,023.14
  5. Step 5: Solve for x
    x = 19,023.14/120.28
  6. Step 6: Final answer
    x = 158.16

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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.