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Finding the Fourth Proportional to 133.81, 200.58 and 93.22

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Solution

The fourth proportional to 133.81, 200.58 and 93.22 is: 139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.81 : 200.58 = 93.22 : x
  2. Step 2: Convert to fraction form
    133.81/200.58 = 93.22/x
  3. Step 3: Cross multiply
    133.81x = 200.58 × 93.22
  4. Step 4: Simplify right side
    133.81x = 18,697.22
  5. Step 5: Solve for x
    x = 18,697.22/133.81
  6. Step 6: Final answer
    x = 139.73

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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.