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Finding the Fourth Proportional to 133.00, 199.70 and 81.86

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Solution

The fourth proportional to 133.00, 199.70 and 81.86 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.00 : 199.70 = 81.86 : x
  2. Step 2: Convert to fraction form
    133.00/199.70 = 81.86/x
  3. Step 3: Cross multiply
    133.00x = 199.70 × 81.86
  4. Step 4: Simplify right side
    133.00x = 16,347.81
  5. Step 5: Solve for x
    x = 16,347.81/133.00
  6. Step 6: Final answer
    x = 122.91

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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.