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Finding the Fourth Proportional to 133.58, 198.80 and 129.20

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Solution

The fourth proportional to 133.58, 198.80 and 129.20 is: 192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.58 : 198.80 = 129.20 : x
  2. Step 2: Convert to fraction form
    133.58/198.80 = 129.20/x
  3. Step 3: Cross multiply
    133.58x = 198.80 × 129.20
  4. Step 4: Simplify right side
    133.58x = 25,684.81
  5. Step 5: Solve for x
    x = 25,684.81/133.58
  6. Step 6: Final answer
    x = 192.28

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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.