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Finding the Fourth Proportional to 121.08, 164.78 and 120.48

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Solution

The fourth proportional to 121.08, 164.78 and 120.48 is: 163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.08 : 164.78 = 120.48 : x
  2. Step 2: Convert to fraction form
    121.08/164.78 = 120.48/x
  3. Step 3: Cross multiply
    121.08x = 164.78 × 120.48
  4. Step 4: Simplify right side
    121.08x = 19,852.69
  5. Step 5: Solve for x
    x = 19,852.69/121.08
  6. Step 6: Final answer
    x = 163.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.