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Finding the Fourth Proportional to 137.29, 206.74 and 121.19

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Solution

The fourth proportional to 137.29, 206.74 and 121.19 is: 182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 206.74 = 121.19 : x
  2. Step 2: Convert to fraction form
    137.29/206.74 = 121.19/x
  3. Step 3: Cross multiply
    137.29x = 206.74 × 121.19
  4. Step 4: Simplify right side
    137.29x = 25,053.79
  5. Step 5: Solve for x
    x = 25,053.79/137.29
  6. Step 6: Final answer
    x = 182.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.