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Finding the Fourth Proportional to 121.23, 182.21 and 118.13

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Solution

The fourth proportional to 121.23, 182.21 and 118.13 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.23 : 182.21 = 118.13 : x
  2. Step 2: Convert to fraction form
    121.23/182.21 = 118.13/x
  3. Step 3: Cross multiply
    121.23x = 182.21 × 118.13
  4. Step 4: Simplify right side
    121.23x = 21,522.97
  5. Step 5: Solve for x
    x = 21,522.97/121.23
  6. Step 6: Final answer
    x = 177.54

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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.