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Finding the Fourth Proportional to 136.22, 202.95 and 121.84

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Solution

The fourth proportional to 136.22, 202.95 and 121.84 is: 181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 202.95 = 121.84 : x
  2. Step 2: Convert to fraction form
    136.22/202.95 = 121.84/x
  3. Step 3: Cross multiply
    136.22x = 202.95 × 121.84
  4. Step 4: Simplify right side
    136.22x = 24,727.43
  5. Step 5: Solve for x
    x = 24,727.43/136.22
  6. Step 6: Final answer
    x = 181.53

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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.