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Finding the Fourth Proportional to 120.29, 164.86 and 120.08

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Solution

The fourth proportional to 120.29, 164.86 and 120.08 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 164.86 = 120.08 : x
  2. Step 2: Convert to fraction form
    120.29/164.86 = 120.08/x
  3. Step 3: Cross multiply
    120.29x = 164.86 × 120.08
  4. Step 4: Simplify right side
    120.29x = 19,796.50
  5. Step 5: Solve for x
    x = 19,796.50/120.29
  6. Step 6: Final answer
    x = 164.58

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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.