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Finding the Fourth Proportional to 133.81, 200.73 and 118.66

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Solution

The fourth proportional to 133.81, 200.73 and 118.66 is: 178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.81 : 200.73 = 118.66 : x
  2. Step 2: Convert to fraction form
    133.81/200.73 = 118.66/x
  3. Step 3: Cross multiply
    133.81x = 200.73 × 118.66
  4. Step 4: Simplify right side
    133.81x = 23,818.62
  5. Step 5: Solve for x
    x = 23,818.62/133.81
  6. Step 6: Final answer
    x = 178.00

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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.