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Finding the Fourth Proportional to 133.01, 199.55 and 110.08

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Solution

The fourth proportional to 133.01, 199.55 and 110.08 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.01 : 199.55 = 110.08 : x
  2. Step 2: Convert to fraction form
    133.01/199.55 = 110.08/x
  3. Step 3: Cross multiply
    133.01x = 199.55 × 110.08
  4. Step 4: Simplify right side
    133.01x = 21,965.25
  5. Step 5: Solve for x
    x = 21,965.25/133.01
  6. Step 6: Final answer
    x = 165.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.