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Finding the Fourth Proportional to 133.24, 198.72 and 122.30

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Solution

The fourth proportional to 133.24, 198.72 and 122.30 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.24 : 198.72 = 122.30 : x
  2. Step 2: Convert to fraction form
    133.24/198.72 = 122.30/x
  3. Step 3: Cross multiply
    133.24x = 198.72 × 122.30
  4. Step 4: Simplify right side
    133.24x = 24,303.49
  5. Step 5: Solve for x
    x = 24,303.49/133.24
  6. Step 6: Final answer
    x = 182.41

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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.