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Finding the Fourth Proportional to 133.50, 199.21 and 121.38

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Solution

The fourth proportional to 133.50, 199.21 and 121.38 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 199.21 = 121.38 : x
  2. Step 2: Convert to fraction form
    133.50/199.21 = 121.38/x
  3. Step 3: Cross multiply
    133.50x = 199.21 × 121.38
  4. Step 4: Simplify right side
    133.50x = 24,180.11
  5. Step 5: Solve for x
    x = 24,180.11/133.50
  6. Step 6: Final answer
    x = 181.12

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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.