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Finding the Fourth Proportional to 183.81, 275.56 and 118.86

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Solution

The fourth proportional to 183.81, 275.56 and 118.86 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 275.56 = 118.86 : x
  2. Step 2: Convert to fraction form
    183.81/275.56 = 118.86/x
  3. Step 3: Cross multiply
    183.81x = 275.56 × 118.86
  4. Step 4: Simplify right side
    183.81x = 32,753.80
  5. Step 5: Solve for x
    x = 32,753.80/183.81
  6. Step 6: Final answer
    x = 178.19

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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.