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Finding the Fourth Proportional to 121.65, 180.98 and 119.34

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Solution

The fourth proportional to 121.65, 180.98 and 119.34 is: 177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.65 : 180.98 = 119.34 : x
  2. Step 2: Convert to fraction form
    121.65/180.98 = 119.34/x
  3. Step 3: Cross multiply
    121.65x = 180.98 × 119.34
  4. Step 4: Simplify right side
    121.65x = 21,598.68
  5. Step 5: Solve for x
    x = 21,598.68/121.65
  6. Step 6: Final answer
    x = 177.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.