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Finding the Fourth Proportional to 133.02, 198.56 and 109.93

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Solution

The fourth proportional to 133.02, 198.56 and 109.93 is: 164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.02 : 198.56 = 109.93 : x
  2. Step 2: Convert to fraction form
    133.02/198.56 = 109.93/x
  3. Step 3: Cross multiply
    133.02x = 198.56 × 109.93
  4. Step 4: Simplify right side
    133.02x = 21,827.70
  5. Step 5: Solve for x
    x = 21,827.70/133.02
  6. Step 6: Final answer
    x = 164.09

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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.