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Finding the Fourth Proportional to 133.96, 200.52 and 95.08

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Solution

The fourth proportional to 133.96, 200.52 and 95.08 is: 142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 200.52 = 95.08 : x
  2. Step 2: Convert to fraction form
    133.96/200.52 = 95.08/x
  3. Step 3: Cross multiply
    133.96x = 200.52 × 95.08
  4. Step 4: Simplify right side
    133.96x = 19,065.44
  5. Step 5: Solve for x
    x = 19,065.44/133.96
  6. Step 6: Final answer
    x = 142.32

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